1 answer

The life X (in years) of a regulator of a car has the pdf 32 f(3)...

Question:

The life X (in years) of a regulator of a car has the pdf

32 f(3) = 83 -e-(2/8), 0<x< 0. (a) What is the probability that this regulator will last at least 5 years? (b) Given that it

32 f(3) = 83 -e-(2/8), 0<x< 0. (a) What is the probability that this regulator will last at least 5 years? (b) Given that it has lasted at least 5 years, what is the conditional probability that it will last at least another 5 years? (c) Suppose the replacement cost Y in dollars) after the regular dies is proportional to X and with mean $5,120. Find the density of Y.

Answers

I The life of a regulator of a care hard pdf Ce fcx) z 322 , -() 3 @ 3 The prole that this regulator will last at least 5 yea( let y denote the replacement cost. Giren y & K3 and Ely)2 5.120Y = K x 3 csay) dy , 3x²k 2) , 3xk 2 1J1 2 lgl 2 - 3k x2 3 k. Now fey) s e ? Hoste-es? 1yxo Co. Given ELY) 5:12 2 kg 3 k. 5

.

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