A system consisting of two components will con- tinue to operate only as long as both components function. Suppose the joint pdf of the lifetimes (months) of the two components in a system is given by f(x, y) = c[10 - (x+y) for x > 0, y > 0, x+ y < 10 a. If the first component functions for exactly 3 months, what is the probability that the sec- ond functions for more than 2 months? b. Suppose the system will continue to work only as long as both components function. Among 20 of these systems that operate independently of each other, what is the probability that at least half work for more than 3 months?

A system consisting of two components will con- tinue to operate only as long as both components function. Suppose the joint pdf of the lifetimes (months) of the two components in a system is given by f(x, y) = c[10 - (x+y) for x > 0, y > 0, x+ y < 10 a. If the first component functions for exactly 3 months, what is the probability that the sec- ond functions for more than 2 months? b. Suppose the system will continue to work only as long as both components function. Among 20 of these systems that operate independently of each other, what is the probability that at least half work for more than 3 months?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...

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