In a sample of 900 U.S adults, 213 dines out at a restaurant more than ones per

Question

In a sample of 900 U.S adults, 213 dines out at a restaurant more than ones per week. Two U.S adults are selected at random for the population of all U.S adults without replacement. Assuming the sample is representative of the U.S adults, complete pairs (a) through (d). (a) Find the probability that both adults dines out more than once per week. the probability that both adults dines out more than once per week is (Round to three decimal places as needed) (b) Find the probability that neither adults dines out more than once per week. the probability that neither adults dines out more than once per week is (Round to three decimal places as needed) (c) Find the probability that at least one of the two adults dines out more than once per week Find the probability that at least one of the two adults dines out more than once per week is (Round to three decimal places as needed) (d) Which of the events can be considered unusual? Explain Select all that apply

Explanation / Answer

(a) Both adults dine out more than once per week = (213/900)^2=0.056

(b) Neither dines out more than once per week = (1-213/900)^2 = 0.583

(c) At least one dines out more than = 0.361+0.056 =0.417

events with Probability less than 0.50 can be considered unusual, both the the sampled adults dining out more than once per week is a very unusual event with probability less than 0.10

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