Question

4. A stock comprises two types of components: type I components have a mean time to failure of 2 year, while type II components have a mean time to failure of 4 years. It is known that 40% of components are of type I, and the rest are of Type II. Assuming that the lifetimes are exponentially distributed, find the probability that a randomly selected component will last for more than 3 years.

          4. A stock comprises two types of components: type I components have a
mean time to failure of 2 year, while type II components have a mean
time to failure of 4 years. It is known that 40% of components are of
type I, and the rest are of Type II. Assuming that the lifetimes are
exponentially distributed, find the probability that a randomly selected
component will last for more than 3 years.

4. A stock comprises two types of components: type I components have a
mean time to failure of 2 year, while type II components have a mean
time to failure of 4 years. It is known that 40% of components are of
type I, and the rest are of Type II. Assuming that the lifetimes are
exponentially distributed, find the probability that a randomly selected
component will last for more than 3 years.

Added by Russell M.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Aishwarya Krishnakumar

Step 1

Given that 40% of components are of type 1, the probability of selecting a type 1 component is 0.4. Show more…

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4. A stock comprises two types of components: type 1 components have a mean time to failure of 2 year, while type II components have a mean time to failure of 4 years. It is known that 40% of components are of type 1, and the rest are of Type Il. Assuming that the lifetimes are exponentially distributed, find the probability that a randomly selected component will last for more than 3 years.