This Quiz: 250 pts poss This Question: 8 pts 80131 (5complete) in a sample of 12

Question

This Quiz: 250 pts poss This Question: 8 pts 80131 (5complete) in a sample of 1200 US aduits, 172 dine out at a resaurant more than once per week Two US adults are selected at random ftrom the population of all US aduts without replacement Assuming the sample is representative of all U.S adults, complkete parts (a) through (d) (a) Find tho probabity that both adults dine out more than once per week. The probability that both adults dine out more than once per week is (Round to theee decimal places as needed) (b) Find the probablity that nether adult dines out more than once per week The probability that nether adult dines out more than once por wook is Round to three decimal places as nooded) (c) Find the probability that at least one of the two adults dines out more than once per week The probitity that at least ore ofthe two adds dnes out more than once per wook is Click to select your answer(s)

Explanation / Answer

Sample size = 1200

Number of dine out at restaurant more than once per week = 172

Probability of person dine out at a restaurant more than once per week is = 172/1200

a)

Let 'A' be the event of first adult dine out more than once per week and 'B' be the event of second adult dine out more than once per week

The probability that both adults dine out more than once per week is

= P(A) * P(B/A)

= (172/1200) * (171/1199)

= 0.020

b) Probability that neither adults dines out more than once per week is:

= (1028 / 1200) * (1027 / 1199) = 0.734

C) Probability that at lest one of the two adults dines out more than once per week is:

= 1 - 0.734 = 0.266

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