Refer to Exercise 10. Let Y be the number of chips tested up to and including the second acceptable chip.

a. What is the smallest possible value for Y ?

b. What is the probability that Y takes on that value?

c. Let X represent the number of chips that are tested up to and including the first acceptable chip. Find P(Y = 3|X = 1).

d. Find P(Y = 3|X = 2).

e. Find P(Y = 3).

Refer to Exercise 10.

Microprocessing chips are randomly sampled one by one from a large population, and tested to determine if they are acceptable for a certain application. Ninety percent of the chips in the population are acceptable.