a. Find the probability of randomly selecting a student who spent the money, given that the student was given four quarters. The probability is . (Round to three decimal places as needed.) b. Find the probability of randomly selecting a student who kept the money, given that the student was given four quarters. The probability is . (Round to three decimal places as needed.) c. What do the preceding results suggest?

Hello  your questions is incomplete attached below is the missing part of the question

answer : A )  0.647 ,  (B) 0.353,  (C) students are more likely to spend the money than to have kept it

Step-by-step explanation:

from the attached table below

Given data :

Total number of students = Number of students who spent money + number of students who kept money

Total number of students = (33+13 ) + (18 + 27 ) =  91

p(Number of students given four quarters) = (33 +18 ) / 91 = 51/91

p( number of students who spent money ) = ( 33 +13 ) / 91 = 46/91

p( number of students who saved money ) = (18 +27 ) / 91 = 45 /91

p( number of students who spent money and given four quarters ) = 33/91

p( number of students who saved money and given four quarters ) = 18/91

A) The probability of randomly selecting a student who spent the money and also given four quarters

= p ( 33/91 | 51/91 )

= 33/91 * 91/51

= 33/51 = 0.647

B ) The probability of randomly selecting a student who kept the money and given that the student was given four quarters

= p ( 18/91 | 51/91 )

= 18/91 * 91/51

= 18 /51 = 0.353

C) students are more likely to spend the money than to have kept it

rx and sx

step-by-step explanation: