(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? O No, the trials are not independent O No, the normal distribution should be used O No, this follows the bimodal distribution O Yes, there are 10 independent trials, each with exactly two possible outcomes, and a constant probability associated with each possible outcome (b) Calculate the probability that exactly 6 out of 10 randomly sampled 18- 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)

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Question 7
<.
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?
O No, the trials are not independent
O No, the normal distribution should be used
O No, this follows the bimodal distribution
O Yes, there are 10 independent trials, each with exactly two possible outcomes, and a constant
probability associated with each possible outcome
(b) Calculate the probability that exactly 6 out of 10 randomly sampled 18- 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)
Transcribed Image Text:Question 7 <. 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? O No, the trials are not independent O No, the normal distribution should be used O No, this follows the bimodal distribution O Yes, there are 10 independent trials, each with exactly two possible outcomes, and a constant probability associated with each possible outcome (b) Calculate the probability that exactly 6 out of 10 randomly sampled 18- 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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