Three components are randomly sampled, one at a time, from a large lot. As each component is selected, it is tested. If it passes the test, a success (S) occurs; if it fails the test, a failure (F) occurs. Assume that 80% of the components in the lot will succeed in passing the test. LetX represent the number of successes among the three sampled components.
Find p(X=1).
Find P(X=0).
Find the mean of the random variable X and the interpret.
Find the standard deviation of the random variable X.
Let Y represent the number of successes if four components are sampled. Find P(Y=3).
Let Z represent the number of successes if four components are sampled. Find P(Z=3).