A report on coffeehouses asked consumers if they were spending more time in coff

ID: 3057899 • Letter: A

Question

A report on coffeehouses asked consumers if they were spending more time in coffeehouses. The table below gives the responses classified by age. Use this information to complete parts a through e.

a) If a person is selected at random, what's the probability that the person is between 18 and 24 years old who is spending more time at coffeehouses and donutshops?

b) Among the 18- to 24-year olds, what is the probability that the person responded that they are not spending more time at coffeehouses and donut shops?

c) What's the probability that a person who spends the same amount of time at coffeehouses and donut shops is between 35 and 44 years old?

d) If a person responded that they spend more time at coffeehouses and donut shops, what's the probability that they are at least 65 years old?

e) Are the responses to the question and age independent?

A.No, becauseP(at least 65 years oldat least 65 years old|moremore)is not equal toP(at least 65 years oldat least 65 years old),for example.

B.Yes, because P(at least 65 years oldat least 65 years old|moremore) is equal to P(at least 65 years oldat least 65 years old),for example.

C.No, because the probability for each age range, given each response, is equal to the probability of that same age range, for all age ranges and all responses.

D.No, because P(at least 65 years oldat least 65 years old|moremore) is equal toP(at least 65 years oldat least 65 years old),for example.

E.Yes, because P(at least 65 years oldat least 65 years old|moremore) is not equal to P(at least 65 years oldat least 65 years old),for example.

F.Yes, because the probability for each age range, given each response, is equal to the probability of that same age range, for all age ranges and all responses.

_ All 18-24_Yrs_Old 25-34_Yrs_Old 35-44_Yrs_Old 45-54_Yrs_Old 55-64_Yrs_Old 65+_Yrs_Old Less 561 91 111 111 111 81 56 Same 532 85 107 105 99 80 56 More 114 29 34 17 17 10 7 Total 1207 205 252 233 227 171 119

Explanation / Answer