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, the normal distribution should be used 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 trials are not independent (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)
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
- No, the
normal distribution should be used
- 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 trials are not independent
(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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