Thread: Exponential Distribution

For a certain type of electrical component, the lifetime X (in thousands of hours) has an Exponential
distribution with rate parameter lambda  = 0.5. What is the probability that a new component will last
longer than 1000 hours? If a component has already lasted 1000 hours, what is the probability that
it will last at least 1000 hours more?


Can anyone help with this question?

Let lambda = t

For (a) we are asked to calculate but we know what the CDF of a exponential distribution is, so


For (b), we are asked to calculate . I'll leave the rest up to you

thank you