A privately owned liquor store operates both a drive-in facility and a walk-in facility. On a randomly selected day, let X and Y, respectively, be the proportions of the time that the drive-in and walk-in facilities are in use and suppose that the joint pdf of these random variables is as shown: f(x.y) =4xy when 00.4). O 0.840 O 0.200 O 0.160 O 0.760

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A privately owned liquor store operates both a drive-in facility and a walk-in facility.
On a randomly selected day, let X and Y, respectively, be the proportions of the time that the drive-in and walk-in facilities are in use
and suppose that the joint pdf of these random variables is as shown:
f(x.y) =4xy when 0<x<1 and 0<y<1 and 0 otherwise.
Find P(Y>0.4).
O 0.840
O 0.200
O 0.160
O 0.760
Transcribed Image Text:A privately owned liquor store operates both a drive-in facility and a walk-in facility. On a randomly selected day, let X and Y, respectively, be the proportions of the time that the drive-in and walk-in facilities are in use and suppose that the joint pdf of these random variables is as shown: f(x.y) =4xy when 0<x<1 and 0<y<1 and 0 otherwise. Find P(Y>0.4). O 0.840 O 0.200 O 0.160 O 0.760
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