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2. 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 any

2. 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 any

given year.

(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? Explain.

(b) What is the probability that at most 2 out of 5 randomly sampled 18-20 year olds have consumed

alcoholic beverages?

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