The lifetime, in weeks, of a certain type of transistor is known to follow a gamma distribution

Question:

The lifetime, in weeks, of a certain type of transistor is known to follow a gamma with mean 10 weeks and standard deviation √50 weeks.
(a) What is the probability that the transistor will last at most 50 weeks?
(b) What is the probability that the transistor will not survive the first 10 weeks?
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...