Statistics for Business & Economics, Revised (MindTap Course List)
12th Edition
ISBN: 9781285846323
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: South-Western College Pub
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Textbook Question
Chapter 6, Problem 53SE
The American Community Survey showed that residents of New York City have the longest travel times to get to work compared to residents of other cities in the United States (U.S. Census Bureau website, August 2008). According to the latest statistics available, the average travel time to work for residents of New York City is 38.3 minutes.
- a. Assume the exponential
probability distribution is applicable and show the probability densityfunction for the travel time to work for a resident of this city. - b. What is the probability it will take a resident of this city between 20 and 40 minutes to travel to work?
- c. What is the probability it will take a resident of this city more than one hour to travel to work?
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20 km, because
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Worksheet 10
Jesse runs a small business selling and delivering mealie meal to the spaza shops.
He charges a fixed rate of R80, 00 for delivery and then R15, 50 for each packet of
mealle meal he delivers. The table below helps him to calculate what to charge
his customers.
10
20
30
40
50
Packets of mealie
meal (m)
Total costs in Rands
80
235
390
545
700
855
(c)
10.1.
Define the following terms:
10.1.1. Independent Variables
10.1.2. Dependent Variables
10.2.
10.3.
10.4.
10.5.
Determine the independent and dependent variables.
Are the variables in this scenario discrete or continuous values? Explain
What shape do you expect the graph to be? Why?
Draw a graph on the graph provided to represent the information in the
table above.
TOTAL COST OF PACKETS OF MEALIE MEAL
900
800
700
600
COST (R)
500
400
300
200
100
0
10
20
30
40
60
NUMBER OF PACKETS OF MEALIE MEAL
Let X be a random variable with support SX = {−3, 0.5, 3, −2.5, 3.5}. Part ofits probability mass function (PMF) is given bypX(−3) = 0.15, pX(−2.5) = 0.3, pX(3) = 0.2, pX(3.5) = 0.15.(a) Find pX(0.5).(b) Find the cumulative distribution function (CDF), FX(x), of X.1(c) Sketch the graph of FX(x).
Chapter 6 Solutions
Statistics for Business & Economics, Revised (MindTap Course List)
Ch. 6.1 - The random variable x is known to be uniformly...Ch. 6.1 - The random variable x is known to be uniformly...Ch. 6.1 - Delta Airlines quotes a flight time of 2 hours, 5...Ch. 6.1 - Prob. 4ECh. 6.1 - The driving distance for the top 100 golfers on...Ch. 6.1 - On average. 30-minute television sitcoms have 22...Ch. 6.1 - Suppose we are interested in bidding on a piece of...Ch. 6.2 - Using Figure 6.4 as a guide, sketch a normal curve...Ch. 6.2 - A random variable is normally distributed with a...Ch. 6.2 - Draw a graph for the standard normal distribution....
Ch. 6.2 - Given that z is a standard normal random variable,...Ch. 6.2 - Given that z is a standard normal random variable,...Ch. 6.2 - Given that z is a standard normal random variable,...Ch. 6.2 - Given that z is a standard normal random variable,...Ch. 6.2 - Given that z is a standard normal random variable,...Ch. 6.2 - Given that z is a standard normal random variable,...Ch. 6.2 - For borrowers with good credit scores, the mean...Ch. 6.2 - The average return for large-cap domestic stock...Ch. 6.2 - In an article about the cost of health care, Money...Ch. 6.2 - The average price for a gallon of gasoline in the...Ch. 6.2 - A person must score in the upper 2% of the...Ch. 6.2 - Television viewing reached a new high when the...Ch. 6.2 - The time needed to complete a final examination in...Ch. 6.2 - Trading volume on the New York Stock Exchange is...Ch. 6.2 - According to the Sleep Foundation, the average...Ch. 6.3 - A binomial probability distribution has p = .20...Ch. 6.3 - Assume a binomial probability distribution has p =...Ch. 6.3 - Although studies continue to show smoking leads to...Ch. 6.3 - An Internal Revenue Oversight Board survey found...Ch. 6.3 - Playing video and computer games is very popular....Ch. 6.3 - A Bureau of National Affairs survey found that 79%...Ch. 6.4 - Consider the following exponential probability...Ch. 6.4 - Consider the following exponential probability...Ch. 6.4 - Battery life between charges for the Motorola...Ch. 6.4 - The time between arrivals of vehicles at a...Ch. 6.4 - Comcast Corporation is the largest cable...Ch. 6.4 - Collinas Italian Caf in Houston, Texas, advertises...Ch. 6.4 - Do interruptions while you are working reduce your...Ch. 6 - A business executive, transferred from Chicago to...Ch. 6 - The NCAA estimates that the yearly value of a full...Ch. 6 - Motorola used the normal distribution to determine...Ch. 6 - During early 2012, economic hardship was...Ch. 6 - Cond Nast Traveler publishes a Gold List of the...Ch. 6 - Ward Doering Auto Sales is considering offering a...Ch. 6 - Is lack of sleep causing traffic fatalities? A...Ch. 6 - Assume that the test scores from a college...Ch. 6 - According to Salary Wizard, the average base...Ch. 6 - A machine fills containers with a particular...Ch. 6 - Consider a multiple-choice examination with 50...Ch. 6 - A blackjack player at a Las Vegas casino learned...Ch. 6 - The Information Systems Audit and Control...Ch. 6 - The website for the Bed and Breakfast Inns of...Ch. 6 - The American Community Survey showed that...Ch. 6 - The time (in minutes) between telephone calls at...Ch. 6 - Specialty Toys Specialty Toys, Inc., sells a...
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- A well-known company predominantly makes flat pack furniture for students. Variability with the automated machinery means the wood components are cut with a standard deviation in length of 0.45 mm. After they are cut the components are measured. If their length is more than 1.2 mm from the required length, the components are rejected. a) Calculate the percentage of components that get rejected. b) In a manufacturing run of 1000 units, how many are expected to be rejected? c) The company wishes to install more accurate equipment in order to reduce the rejection rate by one-half, using the same ±1.2mm rejection criterion. Calculate the maximum acceptable standard deviation of the new process.arrow_forward5. Let X and Y be independent random variables and let the superscripts denote symmetrization (recall Sect. 3.6). Show that (X + Y) X+ys.arrow_forward8. Suppose that the moments of the random variable X are constant, that is, suppose that EX" =c for all n ≥ 1, for some constant c. Find the distribution of X.arrow_forward
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