A production facility contains two machines that are used to rework items that are initially defective. Let X be the number of hours that the first machine is in use, and let Y be the number of hours that the second machine is in use, on a randomly chosen day. Assume that X and Y have joint probability density function given by f(x,y)={(3/2)(x2+y2) 0<x<1 and 0<y<1 0 otherwise What is the probability that both machines are in operation for more than half an hour? (Round the final answer to four decimal places.)

A production facility contains two machines that are used to rework items that are initially defective. Let X be the number of hours that the first machine is in use, and let Y be the number of hours that the second machine is in use, on a randomly chosen day. Assume that X and Y have joint probability density function given by f(x,y)={(3/2)(x2+y2) 0<x<1 and 0<y<1 0 otherwise What is the probability that both machines are in operation for more than half an hour? (Round the final answer to four decimal places.)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.1: Continuous Probability Models

Problem 35E

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