Problem 10SE

In a lot of 10 components, 2 are sampled at random for inspection. Assume that in fact exactly 2 of the 10 components in the lot are defective. Let X be the number of sampled components that are defective.

a. Find P(X = 0).

b. Find P(X = 1).

c. Find P(X = 2).

d. Find the probability mass function of X.

e. Find the mean of X.

f. Find the standard deviation of X.

Solutions:

Step of 1 of 5:

In a lot of 10 components, 2 are sampled at random for inspection. Here exactly 2 of the 10 components in the lot are defective. Let X be the number of defectives. Then we have to find

- P(X=0)
- P(X=1)
- P(X=2)
- Probability mass function of X.
- Mean of X
- Standard deviation of X