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 82% of the components in the lot will succeed in passing the test. Let X represent the number of successes among the three sampled components. a. What are the possible values for K?
b. Find P(X=3).
c. The event that the first component fails and the next two succeed is denoted by FSS. Find P(FSS).
d. Find P(SFS) and P(SSF).