Suppose that when a transistor of a certain type is subjected to an accelerated life test, the lifetime X (in weeks) has a gamma distribution with mean 24 weeks and standard deviation 12 weeks a What is the probability that a transistor will last between 12 and 24 weeks b What is the probability th...

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Suppose that when a transistor of a certain type is subjected to an accelerated life test, the

Question:

Suppose that when a transistor of a certain type is subjected to an accelerated life test, the lifetime X (in weeks) has a gamma with mean 24 weeks and standard deviation 12 weeks.
a. What is the probability that a transistor will last between 12 and 24 weeks?
b. What is the probability that a transistor will last at most 24 weeks? Is the median of the lifetime less than 24? Why or why not?
c. What is the 99th percentile of the lifetime Suppose the test will actually be terminated after t weeks. What value of t is such that only .5% of all transistors would still be operating at termination?
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...