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? ONo, this follows the bimodal distribution Yes, there are 10 independent trials, each with exactly two possible outcomes, and a constant probability associated with each possible outcome No, the trials are not independent O No, the normal distribution should be used b) Calculate the probability that exactly 6 out of 10 randomly sampled 18- 20 year olds consumed an alcoholic drink. Round your answer to 4 decimal places. c) What is the probability that exactly four out of the ten 18-20 year olds have not consumed an alcoholic beverage? Round your answer to 4 decimal places. d) What is the probability that at most 2 out of 5 randomly sampled 18-20 year olds have consumed alcoholic beverages? Round your answer to 4 decimal places. e) What is the probability that at least 1 out of 5 randomly sampled 18-20 year olds have consumed alcoholic beverages? Round your answer to 4 decimal places.
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? ONo, this follows the bimodal distribution Yes, there are 10 independent trials, each with exactly two possible outcomes, and a constant probability associated with each possible outcome No, the trials are not independent O No, the normal distribution should be used b) Calculate the probability that exactly 6 out of 10 randomly sampled 18- 20 year olds consumed an alcoholic drink. Round your answer to 4 decimal places. c) What is the probability that exactly four out of the ten 18-20 year olds have not consumed an alcoholic beverage? Round your answer to 4 decimal places. d) What is the probability that at most 2 out of 5 randomly sampled 18-20 year olds have consumed alcoholic beverages? Round your answer to 4 decimal places. e) What is the probability that at least 1 out of 5 randomly sampled 18-20 year olds have consumed alcoholic beverages? Round your answer to 4 decimal places.
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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Transcribed Image Text: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?
No, this follows the bimodal distribution
Yes, there are 10 independent trials, each with exactly two possible outcomes, and a constant
probability associated with each possible outcome
O No, the trials are not independent
O No, the normal distribution should be used
b) Calculate the probability that exactly 6 out of 10 randomly sampled 18- 20 year olds consumed an alcoholic
drink. Round your answer to 4 decimal places.
c) What is the probability that exactly four out of the ten 18-20 year olds have not consumed an alcoholic
beverage? Round your answer to 4 decimal places.
d) What is the probability that at most 2 out of 5 randomly sampled 18-20 year olds have consumed alcoholic
beverages? Round your answer to 4 decimal places.
e) What is the probability that at least 1 out of 5 randomly sampled 18-20 year olds have consumed alcoholic
beverages? Round your answer to 4 decimal places.
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