A component has an exponential failure time distribution with a mean time to failure of 225 hours.

Question:

A component has an exponential failure time with a mean time to failure of 225 hours.
(a) What is the probability that the component is still operating after 250 hours?
(b) What is the probability that the component fails within 150 hours?
(c) If three of these components are placed in series, what is the probability that the system is still operating after 100 hours?
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...