Elementary Technical Mathematics
11th Edition
ISBN: 9781285199191
Author: Dale Ewen, C. Robert Nelson
Publisher: Cengage Learning
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Chapter 4.5, Problem 51E
To determine
To calculate: The total gas burned by a furnace over the four month period if a furnace burned
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How would i solve this. More info is that b =1 but it might be better to solve this before making the substitution
Let m(t) be a continuous function with a domain of all real numbers. The table below shows some of the values of m(t) .
Assume the characteristics of this function are represented in the table.
t
-3 -2 8 11
12
m(t) -7 6
3
-9
0
(a) The point (-3, -7) is on the graph of m(t). Find the corresponding point on the graph of the transformation y = -m(t) + 17.
(b) The point (8, 3) is on the graph of m(t). Find the corresponding point on the graph of the transformation y =
-m (−t) .
24
(c) Find f(12), if we know that f(t) = |m (t − 1)|
f(12) =
Plz solution should be complete
No chatgpt pls will upvote .
Chapter 4 Solutions
Elementary Technical Mathematics
Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...
Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Prob. 24ECh. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Prob. 26ECh. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Prob. 30ECh. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Prob. 36ECh. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.3A - Read the measurement in millimeters shown on each...Ch. 4.3A - Read the measurement in millimeters shown on each...Ch. 4.3A - Read the measurement in millimeters shown on each...Ch. 4.3A - Read the measurement in millimeters shown on each...Ch. 4.3A - Read the measurement in millimeters shown on each...Ch. 4.3A - Read the measurement in millimeters shown on each...Ch. 4.3A - Read the measurement in millimeters shown on each...Ch. 4.3A - Read the measurement in millimeters shown on each...Ch. 4.3A - Read the measurement in millimeters shown on each...Ch. 4.3A - Prob. 10ECh. 4.3A - Prob. 11ECh. 4.3A - Prob. 12ECh. 4.3B - Read the measurement in inches shown on each...Ch. 4.3B - Read the measurement in inches shown on each...Ch. 4.3B - Read the measurement in inches shown on each...Ch. 4.3B - Prob. 4ECh. 4.3B - Prob. 5ECh. 4.3B - Read the measurement in inches shown on each...Ch. 4.3B - Prob. 7ECh. 4.3B - Prob. 8ECh. 4.3B - Prob. 9ECh. 4.3B - Read the measurement in inches shown on each...Ch. 4.3B - Prob. 11ECh. 4.3B - Read the measurement in inches shown on each...Ch. 4.4A - Read the measurement shown on each metric...Ch. 4.4A - Read the measurement shown on each metric...Ch. 4.4A - Read the measurement shown on each metric...Ch. 4.4A - Prob. 4ECh. 4.4A - Prob. 5ECh. 4.4A - Prob. 6ECh. 4.4A - Prob. 7ECh. 4.4A - Prob. 8ECh. 4.4A - Prob. 9ECh. 4.4A - Prob. 10ECh. 4.4A - Read the measurement shown on each metric...Ch. 4.4A - Prob. 12ECh. 4.4A - Read the measurement shown on each metric...Ch. 4.4A - Prob. 14ECh. 4.4A - Prob. 15ECh. 4.4A - Prob. 16ECh. 4.4A - Prob. 17ECh. 4.4A - Prob. 18ECh. 4.4A - Prob. 19ECh. 4.4A - Read the measurement shown on each metric...Ch. 4.4B - Read the measurement shown on each U.S....Ch. 4.4B - Prob. 2ECh. 4.4B - Prob. 3ECh. 4.4B - Prob. 4ECh. 4.4B - Prob. 5ECh. 4.4B - Prob. 6ECh. 4.4B - Read the measurement shown on each U.S....Ch. 4.4B - Read the measurement shown on each U.S....Ch. 4.4B - Prob. 9ECh. 4.4B - Prob. 10ECh. 4.4B - Prob. 11ECh. 4.4B - Prob. 12ECh. 4.4B - Prob. 13ECh. 4.4B - Prob. 14ECh. 4.4B - Prob. 15ECh. 4.4B - Prob. 16ECh. 4.4B - Prob. 17ECh. 4.4B - Prob. 18ECh. 4.4B - Prob. 19ECh. 4.4B - Prob. 20ECh. 4.5 - In each set of measurements, find the measurement...Ch. 4.5 - In each set of measurements, find the measurement...Ch. 4.5 - In each set of measurements, find the measurement...Ch. 4.5 - In each set of measurements, find the measurement...Ch. 4.5 - In each set of measurements, find the measurement...Ch. 4.5 - Prob. 6ECh. 4.5 - Prob. 7ECh. 4.5 - In each set of measurements, find the measurement...Ch. 4.5 - In each set of measurements, find the measurement...Ch. 4.5 - Prob. 10ECh. 4.5 - Prob. 11ECh. 4.5 - In each set of measurements, find the measurement...Ch. 4.5 - In each set of measurements, find the measurement...Ch. 4.5 - In each set of measurements, find the measurement...Ch. 4.5 - Prob. 15ECh. 4.5 - Prob. 16ECh. 4.5 - In each set of measurements, find the measurement...Ch. 4.5 - Prob. 18ECh. 4.5 - Prob. 19ECh. 4.5 - Prob. 20ECh. 4.5 - Use the rules for addition of measurements to find...Ch. 4.5 - Use the rules for addition of measurements to find...Ch. 4.5 - Use the rules for addition of measurements to find...Ch. 4.5 - Use the rules for addition of measurements to find...Ch. 4.5 - Use the rules for addition of measurements to find...Ch. 4.5 - Prob. 26ECh. 4.5 - Use the rules for addition of measurements to find...Ch. 4.5 - Use the rules for addition of measurements to find...Ch. 4.5 - Use the rules for addition of measurements to find...Ch. 4.5 - Prob. 30ECh. 4.5 - Prob. 31ECh. 4.5 - Use the rules for addition of measurements to find...Ch. 4.5 - Use the rules for subtraction of measurements to...Ch. 4.5 - Use the rules for subtraction of measurements to...Ch. 4.5 - Prob. 35ECh. 4.5 - Use the rules for subtraction of measurements to...Ch. 4.5 - Use the rules for subtraction of measurements to...Ch. 4.5 - Use the rules for subtraction of measurements to...Ch. 4.5 - Prob. 39ECh. 4.5 - Prob. 40ECh. 4.5 - Use the rules for subtraction of measurements to...Ch. 4.5 - If you bolt four pieces of metal with thicknesses...Ch. 4.5 - Prob. 43ECh. 4.5 - Prob. 44ECh. 4.5 - A welder cuts several pieces of steel angle of...Ch. 4.5 - Prob. 46ECh. 4.5 - Prob. 47ECh. 4.5 - Prob. 48ECh. 4.5 - An automobile cooling system is leaking. One day...Ch. 4.5 - Prob. 50ECh. 4.5 - Prob. 51ECh. 4.5 - A 6-room building has the following supply air...Ch. 4.5 - Prob. 53ECh. 4.5 - Prob. 54ECh. 4.5 - Prob. 55ECh. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Prob. 8ECh. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Prob. 12ECh. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Prob. 20ECh. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Prob. 26ECh. 4.6 - V=lwh is the formula for the volume of a...Ch. 4.6 - Find the volume of a cube measuring 8.10 cm on...Ch. 4.6 - The formula s=4.90t2 gives the distances, s in...Ch. 4.6 - Given K.E.=12mv2,m=2.87106kg,andv=13.4m/s. Find...Ch. 4.6 - A formula for determining the theoretical...Ch. 4.6 - Six pieces of metal, each 2.48 mm in thickness,...Ch. 4.6 - Find the volume of a storage bin cylinder with...Ch. 4.6 - In 2010, the United States harvested 12.4 billion...Ch. 4.6 - Prob. 35ECh. 4.6 - Prob. 36ECh. 4.6 - Prob. 37ECh. 4.6 - Prob. 38ECh. 4.6 - Prob. 39ECh. 4.6 - Prob. 40ECh. 4.6 - Prob. 41ECh. 4.6 - Prob. 42ECh. 4.6 - Prob. 43ECh. 4.6 - Prob. 44ECh. 4.6 - Prob. 45ECh. 4.6 - The weather forecast for tonight calls for about 1...Ch. 4.6 - Prob. 47ECh. 4.6 - According to the Environmental Protection Agency,...Ch. 4.6 - There is so much water in the world that we...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - Prob. 18ECh. 4.7 - Prob. 19ECh. 4.7 - Prob. 20ECh. 4.7 - Compare each set of measurements by indicating...Ch. 4.7 - Compare each set of measurements by indicating...Ch. 4.7 - Complete the table: Given measurement Tolerance...Ch. 4.7 - Complete the table: Given measurement Tolerance...Ch. 4.7 - Complete the table: Given measurement Tolerance...Ch. 4.7 - Complete the table: Given measurement Tolerance...Ch. 4.7 - Complete the table: Given measurement Tolerance...Ch. 4.7 - Complete the table: Given measurement Tolerance...Ch. 4.7 - Complete the table: Given measurement Tolerance...Ch. 4.7 - Complete the table: Given measurement Tolerance...Ch. 4.7 - Complete the table: Given measurement Tolerance...Ch. 4.7 - Complete the table: Given measurement Tolerance...Ch. 4.7 - Complete the table: Given measurement Tolerance...Ch. 4.7 - Prob. 34ECh. 4.7 - Prob. 35ECh. 4.7 - Complete the table: Given measurement Tolerance...Ch. 4.7 - Complete the table: Given measurement Tolerance...Ch. 4.7 - Prob. 38ECh. 4.7 - Complete the table: Architects estimate Maximum...Ch. 4.7 - Complete the table: Architects estimate Maximum...Ch. 4.7 - Complete the table: Architects estimate Maximum...Ch. 4.7 - Complete the table: Architects estimate Maximum...Ch. 4.8 - For each resistor shown, find the resistance and...Ch. 4.8 - For each resistor shown, find the resistance and...Ch. 4.8 - Prob. 3ECh. 4.8 - For each resistor shown, find the resistance and...Ch. 4.8 - Prob. 5ECh. 4.8 - For each resistor shown, find the resistance and...Ch. 4.8 - For each resistor shown, find the resistance and...Ch. 4.8 - For each resistor shown, find the resistance and...Ch. 4.8 - Prob. 9ECh. 4.8 - For each resistor shown, find the resistance and...Ch. 4.8 - For each resistor shown, find the resistance and...Ch. 4.8 - For each resistor shown, find the resistance and...Ch. 4.8 - Prob. 13ECh. 4.8 - Prob. 14ECh. 4.8 - Prob. 15ECh. 4.8 - What color code on the first three bands is needed...Ch. 4.8 - What color code on the first three bands is needed...Ch. 4.8 - Prob. 18ECh. 4.8 - Prob. 19ECh. 4.8 - Prob. 20ECh. 4.8 - Prob. 21ECh. 4.8 - Prob. 22ECh. 4.8 - Prob. 23ECh. 4.8 - What color code on the first three bands is needed...Ch. 4.8 - Prob. 25ECh. 4.8 - Find a. the tolerance in ohms, b. the upper...Ch. 4.8 - Prob. 27ECh. 4.8 - Prob. 28ECh. 4.8 - Prob. 29ECh. 4.8 - Find a. the tolerance in ohms, b. the upper...Ch. 4.9 - Prob. 1ECh. 4.9 - Prob. 2ECh. 4.9 - Prob. 3ECh. 4.9 - Prob. 4ECh. 4.9 - Prob. 5ECh. 4.9 - Prob. 6ECh. 4.9 - Prob. 7ECh. 4.9 - Prob. 8ECh. 4.9 - Prob. 9ECh. 4.9 - Prob. 10ECh. 4.9 - Prob. 11ECh. 4.9 - Prob. 12ECh. 4.9 - Prob. 13ECh. 4.9 - Prob. 14ECh. 4.9 - Prob. 15ECh. 4.9 - Prob. 16ECh. 4.9 - Prob. 17ECh. 4.9 - Prob. 18ECh. 4.9 - Read each scale:Ch. 4.9 - Prob. 20ECh. 4.9 - Prob. 21ECh. 4.9 - Prob. 22ECh. 4.9 - Prob. 23ECh. 4.9 - Prob. 24ECh. 4.9 - Prob. 25ECh. 4.9 - Prob. 26ECh. 4.9 - Prob. 27ECh. 4.9 - Prob. 28ECh. 4.9 - Prob. 29ECh. 4.9 - Prob. 30ECh. 4.9 - Read each scale:Ch. 4.9 - Prob. 32ECh. 4.9 - Read each scale:Ch. 4.9 - Prob. 36ECh. 4.9 - Prob. 37ECh. 4.9 - Prob. 38ECh. 4.9 - Read each scale:Ch. 4.9 - Prob. 40ECh. 4.9 - Prob. 41ECh. 4.9 - Prob. 42ECh. 4 - Give the number of significant digits (the...Ch. 4 - Give the number of significant digits (the...Ch. 4 - Prob. 3RCh. 4 - Prob. 4RCh. 4 - Prob. 5RCh. 4 - Prob. 6RCh. 4 - Prob. 7RCh. 4 - Prob. 8RCh. 4 - Find a. the precision and b. and greatest possible...Ch. 4 - Prob. 10RCh. 4 - Prob. 11RCh. 4 - Prob. 12RCh. 4 - Prob. 13RCh. 4 - Prob. 14RCh. 4 - Prob. 15RCh. 4 - Prob. 16RCh. 4 - Read the measurement shown on the vernier caliper...Ch. 4 - Prob. 18RCh. 4 - Prob. 19RCh. 4 - Read the measurement shown on the U.S. micrometer...Ch. 4 - Find the measurement that is a. the most accurate...Ch. 4 - Prob. 22RCh. 4 - Prob. 23RCh. 4 - Prob. 24RCh. 4 - Prob. 25RCh. 4 - Prob. 26RCh. 4 - Prob. 27RCh. 4 - Prob. 28RCh. 4 - Prob. 29RCh. 4 - Prob. 30RCh. 4 - Prob. 31RCh. 4 - Prob. 32RCh. 4 - Prob. 33RCh. 4 - For each resistor find its resistance and its...Ch. 4 - Prob. 36RCh. 4 - Prob. 35RCh. 4 - Prob. 37RCh. 4 - Give the number of significant digits in each...Ch. 4 - Give the number of significant digits in each...Ch. 4 - Prob. 3TCh. 4 - Find a. the precision and b. the greatest possible...Ch. 4 - Prob. 5TCh. 4 - Find a. the precision and b. the greatest possible...Ch. 4 - Prob. 7TCh. 4 - Read the measurement shown on the vernier caliper...Ch. 4 - Prob. 9TCh. 4 - Read the measurement shown on the U.S. micrometer...Ch. 4 - Prob. 11TCh. 4 - Find the measurement that is a. the most accurate,...Ch. 4 - Use the rules of measurement to multiply:...Ch. 4 - Use the rules of rules of measurement to add:...Ch. 4 - Prob. 15TCh. 4 - Use the rules of measurement to divide: 6.28m225mCh. 4 - Prob. 17TCh. 4 - Find a. the relative error and b. the percent of...Ch. 4 - Prob. 19TCh. 4 - Prob. 20TCh. 4 - Prob. 1CRCh. 4 - Round 32,518.612 to nearest a. ten b. hundredth.Ch. 4 - Prob. 3CRCh. 4 - Prob. 4CRCh. 4 - Prob. 5CRCh. 4 - Prob. 6CRCh. 4 - Prob. 7CRCh. 4 - Prob. 8CRCh. 4 - Prob. 9CRCh. 4 - Prob. 10CRCh. 4 - Prob. 11CRCh. 4 - Prob. 12CRCh. 4 - Prob. 13CRCh. 4 - Prob. 14CRCh. 4 - Prob. 15CRCh. 4 - Prob. 16CRCh. 4 - Prob. 17CRCh. 4 - Prob. 18CRCh. 4 - Prob. 19CRCh. 4 - Prob. 20CRCh. 4 - Given the number of significant digits in each...Ch. 4 - Find a. the precision and b. the greatest possible...Ch. 4 - Find a. the precision and b. the greatest possible...Ch. 4 - Prob. 24CRCh. 4 - Prob. 25CRCh. 4 - Prob. 26CRCh. 4 - Prob. 27CRCh. 4 - Prob. 28CRCh. 4 - Prob. 29CRCh. 4 - Prob. 30CRCh. 4 - Prob. 31CRCh. 4 - Prob. 32CRCh. 4 - Prob. 33CRCh. 4 - Read each scale:
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- For unemployed persons in the United States, the average number of months of unemployment at the end of December 2009 was approximately seven months (Bureau of Labor Statistics, January 2010). Suppose the following data are for a particular region in upstate New York. The values in the first column show the number of months unemployed and the values in the second column show the corresponding number of unemployed persons. Months Unemployed Number Unemployed 1 1029 2 1686 3 2269 4 2675 5 3487 6 4652 7 4145 8 3587 9 2325 10 1120 Let x be a random variable indicating the number of months a person is unemployed. a. Use the data to develop an empirical discrete probability distribution for x (to 4 decimals). (x) f(x) 1 2 3 4 5 6 7 8 9 10 b. Show that your probability distribution satisfies the conditions for a valid discrete probability distribution. The input in the box below will not be graded, but may be reviewed and considered by your instructor. c. What is the probability that a person…arrow_forwardIn Gallup's Annual Consumption Habits Poll, telephone interviews were conducted for a random sample of 1014 adults aged 18 and over. One of the questions was "How many cups of coffee, if any, do you drink on an average day?" The following table shows the results obtained (Gallup website, August 6, 2012). Excel File: data05-23.xls Number of Cups per Day Number of Responses 0 365 264 193 3 4 or more 91 101 Define a random variable x = number of cups of coffee consumed on an average day. Let x = 4 represent four or more cups. Round your answers to four decimal places. a. Develop a probability distribution for x. x 0 1 2 3 4 f(x) b. Compute the expected value of x. cups of coffee c. Compute the variance of x. cups of coffee squared d. Suppose we are only interested in adults that drink at least one cup of coffee on an average day. For this group, let y = the number of cups of coffee consumed on an average day. Compute the expected value of y. Compare it to the expected value of x. The…arrow_forwardrounded to two decimal places at each calculationarrow_forward
- In Gallup's Annual Consumption Habits Poll, telephone interviews were conducted for a random sample of 1014 adults aged 18 and over. One of the questions was "How many cups of coffee, if any, do you drink on an average day?" The following table shows the results obtained (Gallup website, August 6, 2012). Excel File: data05-23.xls Number of Cups per Day Number of Responses 0 365 264 193 2 3 4 or more 91 101 Define a random variable x = number of cups of coffee consumed on an average day. Let x = 4 represent four or more cups. Round your answers to four decimal places. a. Develop a probability distribution for x. x 0 1 2 3 f(x) b. Compute the expected value of x. cups of coffee c. Compute the variance of x. cups of coffee squared d. Suppose we are only interested in adults that drink at least one cup of coffee on an average day. For this group, let y = the number of cups of coffee consumed on an average day. Compute the expected value of y. Compare it to the expected value of x. The…arrow_forwardA technician services mailing machines at companies in the Phoenix area. Depending on the type of malfunction, the service call can take 1, 2, 3, or 4 hours. The different types of malfunctions occur at about the same frequency. Develop a probability distribution for the duration of a service call. Duration of Call x f(x) 1 2 3 4 Which of the following probability distribution graphs accurately represents the data set? Consider the required conditions for a discrete probability function, shown below.Does this probability distribution satisfy equation (5.1)?Does this probability distribution satisfy equation (5.2)? What is the probability a service call will take three hours? A service call has just come in, but the type of malfunction is unknown. It is 3:00 P.M. and service technicians usually get off at 5:00 P.M. What is the probability the service technician will have to work overtime to fix the machine today?arrow_forwardA psychologist determined that the number of sessions required to obtain the trust of a new patient is either 1, 2, or 3. Let x be a random variable indicating the number of sessions required to gain the patient's trust. The following probability function has been proposed. x f(x) for x = 1, 2, or 3 a. Consider the required conditions for a discrete probability function, shown below. f(x) ≥0 Σf(x) = 1 (5.1) (5.2) Does this probability distribution satisfy equation (5.1)? Select Does this probability distribution satisfy equation (5.2)? Select b. What is the probability that it takes exactly 2 sessions to gain the patient's trust (to 3 decimals)? c. What is the probability that it takes at least 2 sessions to gain the patient's trust (to 3 decimals)?arrow_forward
- A technician services mailing machines at companies in the Phoenix area. Depending on the type of malfunction, the service call can take 1, 2, 3, or 4 hours. The different types of malfunctions occur at about the same frequency. Develop a probability distribution for the duration of a service call. Which of the following probability distribution graphs accurately represents the data set? Consider the required conditions for a discrete probability function, shown below.Does this probability distribution satisfy equation (5.1)?Does this probability distribution satisfy equation (5.2)? What is the probability a service call will take three hours? A service call has just come in, but the type of malfunction is unknown. It is 3:00 P.M. and service technicians usually get off at 5:00 P.M. What is the probability the service technician will have to work overtime to fix the machine today?arrow_forwardWest Virginia has one of the highest divorce rates in the nation, with an annual rate of approximately 5 divorces per 1000 people (Centers for Disease Control and Prevention website, January 12, 2012). The Marital Counseling Center, Inc. (MCC) thinks that the high divorce rate in the state may require them to hire additional staff. Working with a consultant, the management of MCC has developed the following probability distribution for x = the number of new clients for marriage counseling for the next year. Excel File: data05-19.xls 10 20 f(x) .05 .10 11 30 40 50 60 .10 .20 .35 .20 a. Is this probability distribution valid? Yes Explain. greater than or equal to 0 f(x) Σf(x) equal to 1 b. What is the probability MCC will obtain more than 30 new clients (to 2 decimals)? c. What is the probability MCC will obtain fewer than 20 new clients (to 2 decimals)? d. Compute the expected value and variance of x. Expected value Variance clients per year squared clients per yeararrow_forwardUse Variation of Parameters to solvearrow_forward
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