EP MATHEMATICS FOR THE TRADES
11th Edition
ISBN: 9780134758817
Author: SAUNDERS
Publisher: PEARSON CO
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Chapter 6, Problem 4BPS
To determine
To find: The value of the given expression.
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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…
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.
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?
A 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)?
Chapter 6 Solutions
EP MATHEMATICS FOR THE TRADES
Ch. 6.1 - If it is 13 below zero and the temperature rises...Ch. 6.1 - Prob. 2LCCh. 6.1 - Make each statement true by replacing the symbol...Ch. 6.1 - Make each statement true by replacing the symbol...Ch. 6.1 - Make each statement true by replacing the symbol...Ch. 6.1 - Make each statement true by replacing the symbol...Ch. 6.1 - Make each statement true by replacing the symbol...Ch. 6.1 - Make each statement true by replacing the symbol...Ch. 6.1 - Make each statement true by replacing the symbol...Ch. 6.1 - Make each statement true by replacing the symbol...
Ch. 6.1 - Make each statement true by replacing the symbol...Ch. 6.1 - Make each statement true by replacing the symbol...Ch. 6.1 - A. Make each statement true by replacing the ...Ch. 6.1 - Make each statement true by replacing the symbol...Ch. 6.1 - Make each statement true by replacing the symbol...Ch. 6.1 - Make each statement true by replacing the symbol...Ch. 6.1 - Make each statement true by replacing the symbol...Ch. 6.1 - Make each statement true by replacing the symbol...Ch. 6.1 - For each problem, make a separate number line and...Ch. 6.1 - For each problem, make a separate number line and...Ch. 6.1 - For each problem, make a separate number line and...Ch. 6.1 - For each problem, make a separate number line and...Ch. 6.1 - Prob. 1CECh. 6.1 - Represent each of the following situations with a...Ch. 6.1 - Represent each of the following situations with a...Ch. 6.1 - Represent each of the following situations with a...Ch. 6.1 - Prob. 5CECh. 6.1 - Represent each of the following situations with a...Ch. 6.1 - Prob. 7CECh. 6.1 - Represent each of the following situations with a...Ch. 6.1 - Prob. 9CECh. 6.1 - Represent each of the following situations with a...Ch. 6.1 - Represent each of the following situations with a...Ch. 6.1 - Prob. 12CECh. 6.1 - Prob. 13CECh. 6.1 - C. Represent each of the following situations with...Ch. 6.1 - Prob. 1DECh. 6.1 - Add. 2. 11 + 7Ch. 6.1 - Prob. 3DECh. 6.1 - Prob. 4DECh. 6.1 - Prob. 5DECh. 6.1 - Prob. 6DECh. 6.1 - Prob. 7DECh. 6.1 - Add. 8. 23 + (28)Ch. 6.1 - Prob. 9DECh. 6.1 - Add. 10. 12 + 19Ch. 6.1 - Prob. 11DECh. 6.1 - Prob. 12DECh. 6.1 - Prob. 13DECh. 6.1 - Add. 14. 56 + 29Ch. 6.1 - Prob. 15DECh. 6.1 - Prob. 16DECh. 6.1 - Prob. 17DECh. 6.1 - Prob. 18DECh. 6.1 - Prob. 19DECh. 6.1 - Add. 20. 5.7 + (7.9)Ch. 6.1 - Prob. 21DECh. 6.1 - Prob. 22DECh. 6.1 - Prob. 23DECh. 6.1 - Prob. 24DECh. 6.1 - Prob. 25DECh. 6.1 - Add. 26. 414+634Ch. 6.1 - Add. 27. 912+(412)Ch. 6.1 - Prob. 28DECh. 6.1 - Prob. 29DECh. 6.1 - Prob. 30DECh. 6.1 - Prob. 31DECh. 6.1 - Add. 32. 13310+(845)Ch. 6.1 - Prob. 33DECh. 6.1 - Prob. 34DECh. 6.1 - Prob. 35DECh. 6.1 - Prob. 36DECh. 6.1 - Prob. 37DECh. 6.1 - Add. 38. 11 + (6) + (5)Ch. 6.1 - Prob. 39DECh. 6.1 - Prob. 40DECh. 6.1 - Add. 41. 36 + 45 + 27 + (18)Ch. 6.1 - Prob. 42DECh. 6.1 - Prob. 43DECh. 6.1 - Add. 44. 1+3+(5)+7+(9)+11+(13)+(15)+(17)+19Ch. 6.1 - Prob. 45DECh. 6.1 - Prob. 46DECh. 6.1 - Prob. 47DECh. 6.1 - Prob. 48DECh. 6.1 - Prob. 49DECh. 6.1 - Add. 50. (0.0475)+(0.0875)+(0.0255)Ch. 6.1 - Prob. 1EECh. 6.1 - Practical Applications 2. Sports and Leisure...Ch. 6.1 - Prob. 3EECh. 6.1 - Prob. 4EECh. 6.1 - Practical Applications 5. Business and Finance A...Ch. 6.1 - Prob. 6EECh. 6.1 - Practical Applications 7. Electronics What is the...Ch. 6.1 - Practical Applications 8. Electrical Trades As...Ch. 6.2 - Prob. 1LCCh. 6.2 - Prob. 2LCCh. 6.2 - Prob. 1AECh. 6.2 - Find the value of the following. 2. 7 20Ch. 6.2 - Prob. 3AECh. 6.2 - Prob. 4AECh. 6.2 - Prob. 5AECh. 6.2 - Prob. 6AECh. 6.2 - Prob. 7AECh. 6.2 - Find the value of the following. 8. 22 ( 10)Ch. 6.2 - Prob. 9AECh. 6.2 - Prob. 10AECh. 6.2 - Find the value of the following. 11. 5 ( 16)Ch. 6.2 - Prob. 12AECh. 6.2 - Prob. 13AECh. 6.2 - Find the value of the following. 14. 30 65Ch. 6.2 - Prob. 15AECh. 6.2 - Prob. 16AECh. 6.2 - Prob. 17AECh. 6.2 - Prob. 18AECh. 6.2 - Prob. 19AECh. 6.2 - Find the value of the following. 20. 70 25Ch. 6.2 - Prob. 21AECh. 6.2 - Prob. 22AECh. 6.2 - Prob. 23AECh. 6.2 - Prob. 24AECh. 6.2 - Prob. 25AECh. 6.2 - Find the value of the following. 26. 55 0Ch. 6.2 - Prob. 27AECh. 6.2 - Prob. 28AECh. 6.2 - Prob. 29AECh. 6.2 - Prob. 30AECh. 6.2 - Prob. 31AECh. 6.2 - Find the value of the following. 32. 17 44Ch. 6.2 - Prob. 33AECh. 6.2 - Prob. 34AECh. 6.2 - Prob. 35AECh. 6.2 - Prob. 36AECh. 6.2 - Prob. 37AECh. 6.2 - Find the value of the following. 38. 5 12 + (13) ...Ch. 6.2 - Prob. 39AECh. 6.2 - Find the value of the following. 31. 22 89 32. 17...Ch. 6.2 - Prob. 41AECh. 6.2 - Prob. 42AECh. 6.2 - Prob. 43AECh. 6.2 - Find the value of the following. 44. 212(314)Ch. 6.2 - Prob. 45AECh. 6.2 - Prob. 46AECh. 6.2 - Prob. 47AECh. 6.2 - Prob. 48AECh. 6.2 - Prob. 49AECh. 6.2 - Find the value of the following. 50. (0.275) ...Ch. 6.2 - Prob. 51AECh. 6.2 - Prob. 52AECh. 6.2 - Prob. 53AECh. 6.2 - Prob. 54AECh. 6.2 - Prob. 55AECh. 6.2 - Find the value of the following. 56. (5.8)(818)3.9Ch. 6.2 - Prob. 1BECh. 6.2 - Practical Applications 2. Meteorology The highest...Ch. 6.2 - Prob. 3BECh. 6.2 - Prob. 4BECh. 6.2 - Prob. 5BECh. 6.2 - Prob. 6BECh. 6.2 - Prob. 7BECh. 6.2 - Practical Applications 8. Meteorology The fastest...Ch. 6.2 - Prob. 9BECh. 6.2 - Prob. 10BECh. 6.2 - Prob. 11BECh. 6.2 - Prob. 12BECh. 6.2 - Prob. 13BECh. 6.2 - Practical Applications 14. Meteorology The hottest...Ch. 6.2 - Prob. 15BECh. 6.3 - Prob. 1LCCh. 6.3 - Prob. 2LCCh. 6.3 - Prob. 1AECh. 6.3 - Multiply or divide as indicated. 2. 8 (5)Ch. 6.3 - Prob. 3AECh. 6.3 - Prob. 4AECh. 6.3 - Prob. 5AECh. 6.3 - Prob. 6AECh. 6.3 - Prob. 7AECh. 6.3 - Multiply or divide as indicated. 8. (44)(11)Ch. 6.3 - Multiply or divide as indicated. 9. (3.4)(1.5)Ch. 6.3 - Prob. 10AECh. 6.3 - Prob. 11AECh. 6.3 - Prob. 12AECh. 6.3 - Prob. 13AECh. 6.3 - Multiply or divide as indicated. 14. (10.8)(1.2)Ch. 6.3 - Prob. 15AECh. 6.3 - Prob. 16AECh. 6.3 - Prob. 17AECh. 6.3 - Prob. 18AECh. 6.3 - Prob. 19AECh. 6.3 - Multiply or divide as indicated. 20. (13)(4)Ch. 6.3 - Prob. 21AECh. 6.3 - Prob. 22AECh. 6.3 - Prob. 23AECh. 6.3 - Prob. 24AECh. 6.3 - Prob. 25AECh. 6.3 - Multiply or divide as indicated. 26. (200)(10)Ch. 6.3 - Prob. 27AECh. 6.3 - Prob. 28AECh. 6.3 - Prob. 29AECh. 6.3 - Prob. 30AECh. 6.3 - Prob. 31AECh. 6.3 - Multiply or divide as indicated. 32. (2.25)0.15Ch. 6.3 - Prob. 33AECh. 6.3 - Prob. 34AECh. 6.3 - Prob. 35AECh. 6.3 - Prob. 36AECh. 6.3 - Prob. 37AECh. 6.3 - Multiply or divide as indicated. 38. (8)4(7)Ch. 6.3 - Prob. 39AECh. 6.3 - Prob. 40AECh. 6.3 - Prob. 41AECh. 6.3 - Prob. 42AECh. 6.3 - Prob. 1BECh. 6.3 - Multiply or divide using a calculator and round as...Ch. 6.3 - Prob. 3BECh. 6.3 - Prob. 4BECh. 6.3 - Prob. 5BECh. 6.3 - Prob. 6BECh. 6.3 - Prob. 7BECh. 6.3 - Multiply or divide using a calculator and round as...Ch. 6.3 - Prob. 9BECh. 6.3 - Prob. 10BECh. 6.3 - Prob. 11BECh. 6.3 - Multiply or divide using a calculator and round as...Ch. 6.3 - Prob. 1CECh. 6.3 - Practical Applications 2. Business and Finance In...Ch. 6.3 - Practical Applications 3. Industrial Technology...Ch. 6.3 - Practical Applications 4. Machine Trades A long...Ch. 6.3 - Prob. 5CECh. 6.3 - Prob. 6CECh. 6.4 - What number, multiplied by itself, gives you a...Ch. 6.4 - Prob. 2LCCh. 6.4 - Prob. 1AECh. 6.4 - Find the value of these. 2. 32Ch. 6.4 - Prob. 3AECh. 6.4 - Prob. 4AECh. 6.4 - Prob. 5AECh. 6.4 - Prob. 6AECh. 6.4 - Prob. 7AECh. 6.4 - Find the value of these. 8. 62Ch. 6.4 - Prob. 9AECh. 6.4 - Prob. 10AECh. 6.4 - Prob. 11AECh. 6.4 - Prob. 12AECh. 6.4 - Prob. 13AECh. 6.4 - Find the value of these. 14. (3)5Ch. 6.4 - Prob. 15AECh. 6.4 - Prob. 16AECh. 6.4 - Find the value of these. 17. 51Ch. 6.4 - Prob. 18AECh. 6.4 - Prob. 19AECh. 6.4 - Find the value of these. 20. 82Ch. 6.4 - Prob. 21AECh. 6.4 - Prob. 22AECh. 6.4 - Prob. 23AECh. 6.4 - Prob. 24AECh. 6.4 - Prob. 25AECh. 6.4 - Find the value of these. 26. 2632Ch. 6.4 - Prob. 27AECh. 6.4 - Prob. 28AECh. 6.4 - Prob. 29AECh. 6.4 - Prob. 30AECh. 6.4 - Prob. 31AECh. 6.4 - Find the value of these. 32. 1423Ch. 6.4 - Prob. 33AECh. 6.4 - Prob. 34AECh. 6.4 - Prob. 35AECh. 6.4 - Prob. 36AECh. 6.4 - Prob. 37AECh. 6.4 - Find the value of these. 38. 6442+18Ch. 6.4 - Prob. 39AECh. 6.4 - Prob. 40AECh. 6.4 - Find the value of these. 41. 26+402332Ch. 6.4 - Prob. 42AECh. 6.4 - Prob. 1BECh. 6.4 - Calculate. Round to two decimal places if...Ch. 6.4 - Prob. 3BECh. 6.4 - Prob. 4BECh. 6.4 - Prob. 5BECh. 6.4 - Prob. 6BECh. 6.4 - Prob. 7BECh. 6.4 - Calculate. Round to two decimal places if...Ch. 6.4 - Prob. 9BECh. 6.4 - Prob. 10BECh. 6.4 - Prob. 11BECh. 6.4 - Prob. 12BECh. 6.4 - Prob. 13BECh. 6.4 - Calculate. Round to two decimal places if...Ch. 6.4 - Calculate. Round to two decimal places if...Ch. 6.4 - Prob. 16BECh. 6.4 - Prob. 17BECh. 6.4 - Prob. 18BECh. 6.4 - Prob. 19BECh. 6.4 - Calculate. Round to two decimal places if...Ch. 6.4 - Prob. 21BECh. 6.4 - Prob. 22BECh. 6.4 - Prob. 23BECh. 6.4 - Prob. 24BECh. 6.4 - Prob. 25BECh. 6.4 - Calculate. Round to two decimal places if...Ch. 6.4 - Prob. 27BECh. 6.4 - Prob. 28BECh. 6.4 - Prob. 29BECh. 6.4 - Prob. 30BECh. 6.4 - Prob. 31BECh. 6.4 - Calculate. Round to two decimal places if...Ch. 6.4 - Prob. 33BECh. 6.4 - Prob. 34BECh. 6.4 - Prob. 35BECh. 6.4 - Prob. 36BECh. 6.4 - Prob. 37BECh. 6.4 - Prob. 38BECh. 6.4 - Prob. 1CECh. 6.4 - Construction A square building covers an area of...Ch. 6.4 - Mechanical Engineering The following calculation...Ch. 6.4 - Prob. 4CECh. 6.4 - Prob. 5CECh. 6.4 - Prob. 6CECh. 6.4 - Prob. 7CECh. 6.4 - Roofing The length L of a rafter on a shed roof is...Ch. 6.4 - Prob. 9CECh. 6.4 - Prob. 10CECh. 6.4 - Prob. 11CECh. 6.4 - Electrical Trades The electrical resistance of a...Ch. 6.4 - Prob. 13CECh. 6 - Understand the meaning of signed numbers. (a)...Ch. 6 - Add signed numbers. (a) (3)+(5) _____ (b)...Ch. 6 - Subtract signed numbers. (a) 47 _____ (b) 11(3)...Ch. 6 - Multiply and divide signed numbers. (a) (12)6...Ch. 6 - Work with exponents. (a) 43 _____ (b) (2.05)2...Ch. 6 - Use the order of operations. (a) 2+32 _____ (b)...Ch. 6 - Find square roots. (a) 169 _____ (b) 14.5 (to two...Ch. 6 - A. Rewrite each group of numbers in order from...Ch. 6 - A. Rewrite each group of numbers in order from...Ch. 6 - A. Rewrite each group of numbers in order from...Ch. 6 - A. Rewrite each group of numbers in order from...Ch. 6 - Add or subtract as indicated. 1. 16+6Ch. 6 - Prob. 2BPSCh. 6 - Add or subtract as indicated. 3. 7 13Ch. 6 - Prob. 4BPSCh. 6 - Add or subtract as indicated. 5. 23 + (38)Ch. 6 - Prob. 6BPSCh. 6 - B. Add or subtract as indicated. 20 (5)Ch. 6 - Add or subtract as indicated. 8. 11 + (3)Ch. 6 - Add or subtract as indicated. 9. 2.6 + 4.9Ch. 6 - Prob. 10BPSCh. 6 - B. Add or subtract as indicated. 5.26 3.89Ch. 6 - Prob. 12BPSCh. 6 - B. Add or subtract as indicated. 9 6 + 4 + (13) ...Ch. 6 - B. Add or subtract as indicated. 12.4 + 612 (134)...Ch. 6 - Multiply or divide as indicated. 1. 6(10)Ch. 6 - Prob. 2CPSCh. 6 - Multiply or divide as indicated. 3. 48(4)Ch. 6 - Prob. 4CPSCh. 6 - Multiply or divide as indicated. 5. (118)(614)Ch. 6 - Prob. 6CPSCh. 6 - Multiply or divide as indicated. 7. 6.4(16)Ch. 6 - Prob. 8CPSCh. 6 - Multiply or divide as indicated. 9. (4) (5) (6)Ch. 6 - Multiply or divide as indicated. 10. 72(4)(3)Ch. 6 - Multiply or divide as indicated. 11. (2.4735) ...Ch. 6 - Prob. 12CPSCh. 6 - Find the numerical value of each expression. 12.5 ...Ch. 6 - Prob. 2DPSCh. 6 - Find the numerical value of each expression....Ch. 6 - Prob. 4DPSCh. 6 - Find the numerical value of each expression. 5. 26Ch. 6 - Prob. 6DPSCh. 6 - Find the numerical value of each expression. 7....Ch. 6 - Prob. 8DPSCh. 6 - Find the numerical value of each expression. 9....Ch. 6 - Prob. 10DPSCh. 6 - Find the numerical value of each expression. 11....Ch. 6 - Prob. 12DPSCh. 6 - Find the numerical value of each expression. 13....Ch. 6 - Prob. 14DPSCh. 6 - Prob. 15DPSCh. 6 - Prob. 16DPSCh. 6 - Prob. 17DPSCh. 6 - Prob. 18DPSCh. 6 - Prob. 19DPSCh. 6 - Prob. 20DPSCh. 6 - Prob. 21DPSCh. 6 - Prob. 22DPSCh. 6 - Prob. 23DPSCh. 6 - Prob. 24DPSCh. 6 - Prob. 25DPSCh. 6 - Prob. 26DPSCh. 6 - Prob. 27DPSCh. 6 - Prob. 28DPSCh. 6 - Prob. 29DPSCh. 6 - Prob. 30DPSCh. 6 - Prob. 31DPSCh. 6 - Prob. 32DPSCh. 6 - Prob. 33DPSCh. 6 - Prob. 34DPSCh. 6 - Prob. 35DPSCh. 6 - Prob. 36DPSCh. 6 - Prob. 37DPSCh. 6 - Prob. 38DPSCh. 6 - Prob. 39DPSCh. 6 - Prob. 40DPSCh. 6 - Prob. 41DPSCh. 6 - Prob. 42DPSCh. 6 - Prob. 43DPSCh. 6 - Prob. 44DPSCh. 6 - Prob. 45DPSCh. 6 - Prob. 46DPSCh. 6 - Prob. 1EPSCh. 6 - General Trades Find the side of a square whose...Ch. 6 - Prob. 3EPSCh. 6 - E. Practical Applications Trades Management Morgan...Ch. 6 - Prob. 5EPSCh. 6 - Fire Protection The flow rate (in gallons per...Ch. 6 - Prob. 7EPSCh. 6 - Trades Management An auto shop was 14,560 in the...Ch. 6 - Prob. 9EPSCh. 6 - Prob. 10EPSCh. 6 - Prob. 11EPSCh. 6 - Meteorology Use the formula F=9C5+32 to convert...Ch. 6 - Prob. 13EPSCh. 6 - Prob. 14EPSCh. 6 - Prob. 15EPSCh. 6 - Allied Health The following expression gives the...Ch. 6 - Prob. 17EPSCh. 6 - Prob. 18EPSCh. 6 - Prob. 19EPS
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