Question

Data collected by the Substance Abuse and Mental Health Services Administration (SAMSHA) suggests that 65.4% of 18–20 year olds consumed alcoholic beverages in any given year. (Round your answers to four decimal places.)

What is the probability that at least 1 out of 5 randomly sampled 18–20 year olds have consumed alcoholic beverages?

Answer 1

0.9950

Explanation:

You want the probability that at least 1 of 5 randomly sampled 18–20 year olds has consumed alcohol, given that probability any one of them has is 0.654.

At least 1

The probability that at least 1 has consumed alcohol is the complement of the probability none has.

p(x≥1) = 1 -p(x=0) = 1 - (1 -0.654)^5 ≈ 0.9950

The probability that at least one of the sample has consumed alcohol is 0.9950.

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