Statistics: The Art and Science of Learning from Data (4th Edition)

4th Edition

ISBN: 9780321997838

Author: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg

Publisher: PEARSON

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Concept explainers

Addition Rule of Probability

It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.

Expected Value

When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known …

Probability Distributions

Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosi…

Basic Probability

The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the prob…

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Textbook Question

Chapter 6.1, Problem 8PB

Roulette A roulette wheel consists of 38 numbers, 0 through 36 and 00. Of these, 18 numbers are red, 18 are black, and 2 are green (0 and 00). You are given $10 and told that you must pick one of two wagers, for an outcome based on a spin of the wheel: (1) Bet $10 on number 23. If the spin results in 23, you win $350 and also get back your $10 bet. If any other number comes up, you lose your $10, or (2) Bet $10 on black. If the spin results in any one of the black numbers, you win $10 and also get back your $10 bet. If any other color comes up, you lose your $10.

a. Without doing any calculation, which wager would you prefer? Explain why. (There is no correct answer. Peoples’ choices are based on their individual preferences and risk tolerances.)
b. Find the expected outcome for each wager. Which wager is better in this sense?

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Chapter 6.1, Problem 7PB

Chapter 6.1, Problem 9PB

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Chapter 6 Solutions

Statistics: The Art and Science of Learning from Data (4th Edition)

Ch. 6.1 - Rolling dice a. State in a table the probability...Ch. 6.1 - Dental Insurance You plan to purchase dental...Ch. 6.1 - San Francisco Giants hitting The table shows the...Ch. 6.1 - Best of three In a best out of three series played...Ch. 6.1 - Grade distribution An instructor always assigns...Ch. 6.1 - Selling houses Let X represent the number of homes...Ch. 6.1 - Playing the lottery The state of Ohio has several...Ch. 6.1 - Roulette A roulette wheel consists of 38 numbers,...Ch. 6.1 - More Roulette The previous exercise on roulette...Ch. 6.1 - Prob. 10PB

Ch. 6.1 - Profit and the weather From past experience, a...Ch. 6.1 - Buying on eBay You are watching two items posted...Ch. 6.1 - Selling at the right price Some companies, such as...Ch. 6.1 - Uniform distribution A random number generator is...Ch. 6.1 - TV watching A social scientist uses the General...Ch. 6.2 - Probabilities in tails For a normal distribution,...Ch. 6.2 - Probability in graph For the normal distributions...Ch. 6.2 - Empirical rule Verify the empirical rule by using...Ch. 6.2 - Central probabilities For a normal distribution,...Ch. 6.2 - z-score for given probability in tails For a...Ch. 6.2 - Probability in tails for given z-score For a...Ch. 6.2 - z-score for right-tail probability a. For the...Ch. 6.2 - Prob. 23PB Ch. 6.2 - Prob. 24PB Ch. 6.2 - Prob. 25PB Ch. 6.2 - Coffee Machine Suppose your favorite coffee...Ch. 6.2 - Energy use An energy study in Gainesville,...Ch. 6.2 - Birth weight for boys In the United States, the...Ch. 6.2 - MDI The Mental Development Index (MDI) of the...Ch. 6.2 - Quartiles and outliers Refer to the previous...Ch. 6.2 - April precipitation Over roughly the past 100...Ch. 6.2 - Tall enough to ride? A new roller coaster at an...Ch. 6.2 - SAT versus ACT SAT math scores follow a normal...Ch. 6.2 - Relative height Refer to the normal distributions...Ch. 6.3 - Kidney transplants In kidney transplantations,...Ch. 6.3 - Compatible donors Refer to the previous exercise....Ch. 6.3 - Symmetric binomial Construct a graph similar to...Ch. 6.3 - Number of girls in a family Each newborn baby has...Ch. 6.3 - Prob. 39PB Ch. 6.3 - Prob. 40PB Ch. 6.3 - Passing by guessing A quiz in a statistics course...Ch. 6.3 - NBA shooting In the National Basketball...Ch. 6.3 - Season performance Refer to the previous exercise....Ch. 6.3 - Is the die balanced? A balanced die with six sides...Ch. 6.3 - Prob. 45PB Ch. 6.3 - Prob. 46PB Ch. 6.3 - Prob. 47PB Ch. 6.3 - Checking guidelines For Example 13 on the gender...Ch. 6.3 - Class sample Four of the 20 students (20%) in a...Ch. 6.3 - Prob. 50PB Ch. 6.3 - Binomial assumptions For the following random...Ch. 6 - Grandparents Let X = the number of living...Ch. 6 - Straight or boxed? Consider a Pick-3 lottery such...Ch. 6 - Auctioning paintings A collector is interested in...Ch. 6 - Prob. 55CP Ch. 6 - Are you risk averse? You need to choose between...Ch. 6 - Flyers insurance An insurance company sells a...Ch. 6 - Normal probabilities For a normal distribution,...Ch. 6 - Prob. 59CP Ch. 6 - Prob. 60CP Ch. 6 - Quartiles If z is the positive number such that...Ch. 6 - Boys and girls birth weight Exercise 6.28...Ch. 6 - Cholesterol The American Heart Association reports...Ch. 6 - Female heights Female heights in North America...Ch. 6 - Cloning butterflies The wingspans of recently...Ch. 6 - Gestation times For 5459 pregnant women using...Ch. 6 - Used car prices Data from the Web site carmax.com...Ch. 6 - Used car deals Refer to the previous exercise....Ch. 6 - Global warming Suppose that weekly use of gasoline...Ch. 6 - Fast-food profits Macs fast-food restaurant finds...Ch. 6 - Metric height A Dutch researcher reads that male...Ch. 6 - Manufacturing tennis balls According to the rules...Ch. 6 - Brides choice of surname According to a study done...Ch. 6 - Prob. 74CP Ch. 6 - Prob. 75CP Ch. 6 - Prob. 76CP Ch. 6 - Weather A weather forecaster states, The chance of...Ch. 6 - Dating success Based on past experience, Julio...Ch. 6 - Canadian lottery In one Canadian lottery option,...Ch. 6 - Likes on Facebook A large retail chain sends out...Ch. 6 - Likes with online credit The retail chain from the...Ch. 6 - Which distribution for sales? A salesperson uses...Ch. 6 - Best of five Example 2 gave the probability...Ch. 6 - Prob. 84CP Ch. 6 - Prob. 85CP Ch. 6 - Longest streak made In basketball, when the...Ch. 6 - Airline overbooking For the Boston to Chicago...Ch. 6 - Prob. 89CP Ch. 6 - Prob. 90CP Ch. 6 - Prob. 91CP Ch. 6 - Prob. 92CP Ch. 6 - Prob. 93CP Ch. 6 - Prob. 94CP Ch. 6 - Prob. 95CP Ch. 6 - Prob. 96CP Ch. 6 - Prob. 97CP Ch. 6 - Prob. 98CP Ch. 6 - Prob. 99CP Ch. 6 - Prob. 100CP Ch. 6 - Prob. 101CP

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Solution Summary: The author explains which wager would be preferred without any calculations and explain the reason.

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