3.25 Underage drinking, Part I: Data collected by the Substance Abuse and Mental Health Services Administration (SAMSHA) suggests that 69.7% of 18-20-year-olds consumed alcoholic beverages in 2008.(a) Suppose a random sample of ten 18-20-year-olds is taken. Is the use of the binomial distribution appropriate for calculating the probability that exactly six consumed alcoholic beverages?Yes, there are 10 independent trials, each with exactly two possible outcomes, and a constant probability associated with each possible outcomeNo, this follows the bimodal distributionNo, the normal distribution should be usedNo, the trials are not independent(b) Calculate the probability that exactly 6 out of 10 randomly sampled 18- to 20-year-olds consumed an alcoholic drink. (please round to four decimal places)(c) What is the probability that exactly four out of the ten 18-20-year-olds have not consumed an alcoholic beverage? (please round to four decimal places)(d) What is the probability that at most 2 out of 5 randomly sampled 18-20-year-olds have consumed alcoholic beverages? (please round to four decimal places)(e) What is the probability that at least 1 out of 5 randomly sampled 18-20-year-olds have consumed alcoholic beverages? (please round to four decimal places)

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Answered: Suppose a random sample of ten…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....

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3.25 Underage drinking, Part I: Data collected by the Substance Abuse and Mental Health Services Administration (SAMSHA) suggests that 69.7% of 18-20-year-olds consumed alcoholic beverages in 2008.

(a) Suppose a random sample of ten 18-20-year-olds is taken. Is the use of the binomial distribution appropriate for calculating the probability that exactly six consumed alcoholic beverages?

Yes, there are 10 independent trials, each with exactly two possible outcomes, and a constant probability associated with each possible outcome
No, this follows the bimodal distribution
No, the normal distribution should be used
No, the trials are not independent

(b) Calculate the probability that exactly 6 out of 10 randomly sampled 18- to 20-year-olds consumed an alcoholic drink.
(please round to four decimal places)

(c) What is the probability that exactly four out of the ten 18-20-year-olds have not consumed an alcoholic beverage? (please round to four decimal places)

(d) What is the probability that at most 2 out of 5 randomly sampled 18-20-year-olds have consumed alcoholic beverages?
(please round to four decimal places)

(e) What is the probability that at least 1 out of 5 randomly sampled 18-20-year-olds have consumed alcoholic beverages?
(please round to four decimal places)

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