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in an experniment, college students were given ether four quarters or a $1 bill

ID: 3374837 • Letter: I

Question

in an experniment, college students were given ether four quarters or a $1 bill and they could ether keep the money or spend it on gum. The results are summarized in the table Compiete parts (a through i below Purchased Gum Kept the Money Students Given Four Quarters 25 12 17 Students Given 3 $1 BI a. Find the probability of randomly selecting a student who spent the money, given that the sludent was givein four quaners The probability is 59 (Round to three decimal places as needed.) b. Find the probability of randomly The probability is 267 Round to three decimal places as needed) e. What do the preceding resuts suggest selecting a student whio spent the money, given that the student was given a s

Explanation / Answer

From the given data

a) P(a student who spent the money / student was four quarters)
= P( a student who spent the money and student was four quarters) / P(student was four quarters)
= (25/87) / (42/87) = 25/42 = 0.59524

b) P(a student who spent the money / student was $1 bill)
= P( a student who spent the money and student was $1 bill) / P(student was 1$ bill)
= (12/87) / (45/87) = 12/45 = 0.2667

c) Correct answer: option (A)

Purchased Gum Kept the money Total: Four Quarters 25 17 42 $1 Bill 12 33 45 Total: 37 50 87