Suppose That When a Transistor of a Certain Type Is

question 5

Essay

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 of 40 and variance of 320.
a. What is the probability that a transistor will last between 1 and 40 weeks?
b. What is the probability that a transistor will last at most 40 weeks? Is the median of the lifetime distribution less than 40? Why or why not?

---

Definitions:

Sexual Fantasy

An imagined sequence of sexual events or scenarios created and played out in one's mind, often serving as a form of mental arousal or exploration of desires.

Testosterone

A steroid hormone associated with the development of male secondary sexual characteristics, as well as playing a role in the biological function of females.

Androgen

A type of hormone that plays a role in the development and maintenance of male traits and reproductive activity, primarily produced in the testes.

Estrogen

A group of steroid hormones that play a critical role in female reproductive and sexual health, but also affect many other tissues and organs.