According to the Statistical Abstract of the United States, about 17% of all 18-

Question

According to the Statistical Abstract of the United States, about 17% of all 18- to 25-year-olds are current marijuana users (a) What is the probability that a randomly selected 18- to 25-year-old is a marijuana user? (b) What is the probability that four randomly selected 18- to 25 year-olds are all marijuana users? c) What is the probability that among tour randomly selected 18- to 25-year-olds NONE, s a marijuana user? (d) What is the probability that among four randomly selected 18-to 25-year olds at least one is a marijuana user?

Explanation / Answer

(a)
Probability that a randomly selected person is a marihuana user is 0.17

(b)
Probability that all four are marihuana user = (0.17)^4 = 0.000835

(c)
probability that none is marihuana user = (1-0.17)^4 = 0.4746

(d)
Probability that at least one is marihuana user = 1 - 0.4746 = 0.52542

(e)
Assumption made is the population follows binomial distribution

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