Underage drinking, Part I

Data collected by the Substance Abuse and Mental Health Services Administration (SAMSHA) suggests that \( {{ params.percentage }} \)% of 18-20 year olds consumed alcoholic beverages in any given year.

Part 1

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?

Answer Section

• Yes

• No

Part 2

Calculate the probability that exactly \({{params.k2}}\) out of \({{params.n2}}\) randomly sampled 18-20 year olds consumed an alcoholic drink.

Part 3

What is the probability that exactly \({{params.k3}}\) out of \({{params.n3}}\) 18-20 year olds have NOT consumed an alcoholic beverage?

Part 4

What is the probability that at most \({{params.k4}}\) out of \({{params.n4}}\) randomly sampled 18-20 year olds have consumed alcoholic beverages?

Part 5

What is the probability that at least \({{params.k5}}\) out of \({{params.n5}}\) randomly sampled 18-20 year olds have consumed alcoholic beverages?

Attribution

Problem is from the OpenIntro Statistics textbook, licensed under the CC-BY 4.0 license.