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Chapter 5: Q4 (page 220)
Using the same SAT questions described in Exercise 2, is 20 a significantly high number of correct answers for someone making random guesses?
20 is not a significantly high number of correct answers.
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In Exercises 1–5, assume that 74% of randomly selected adults have a credit card (basedon results from an AARP Bulletin survey). Assume that a group of five adults is randomlyselected.
Find the probability that at least one of the five adults has a credit card. Does the result apply to five adult friends who are vacationing together? Why or why not?
In Exercises 7–14, determine whether a probability
distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied.
Groups of adults are randomly selected and arranged in groups of three. The random variable xis the number in the group who say that they would feel comfortable in a self driving vehicle (based on a TE Connectivity survey).
x | P(x) |
0 | 0.358 |
1 | 0.439 |
2 | 0.179 |
3 | 0.024 |
In Exercises 21–25, refer to the accompanying table, which describes the numbers of adults in groups of five who reported sleepwalking (based on data from “Prevalence and Comorbidity of Nocturnal Wandering In the U.S. Adult General Population,” by Ohayon et al., Neurology, Vol. 78, No. 20).
Find the mean and standard deviation for the numbers of sleepwalkers in groups of five.
x | P(x) |
0 | 0.172 |
1 | 0.363 |
2 | 0.306 |
3 | 0.129 |
4 | 0.027 |
5 | 0.002 |
Identifying Binomial Distributions. In Exercises 5–12, determine whether the given procedure results in a binomial distribution (or a distribution that can be treated as binomial). For those that are not binomial, identify at least one requirement that is not satisfied.
Credit Card Survey In an AARP Bulletin survey, 1019 different adults were randomly selected without replacement. Respondents were asked if they have one or more credit cards, and responses were recorded as “yes” and “no.”
Are the values found in Exercise 2 statistics or parameters? Why?
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