Question

1. On the average, a certain computer part lasts eight years. The length of time the computer part lasts is exponentially distributed.

1. What is the probability that a computer part lasts more than 5 years?
2. On the average, how long would five computer parts last if they are used one after another?

Answer 1

Given data :

Let X denote the amount of time (years) a computer part lasts,

a) What is the probability that a computer part lasts more than 5 years?

To find the prob P(X>5)=1-P(X<5)

we know that

then

b) On the average, how long would five computer parts last if they are used one after another?

=5*8=40 years on the average