60. When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let X  the number of defective boards in a random sample of size n  25, so X  Bin(25, .05).

a. Determine P(X 2).

b. Determine P(X  5).

c. Determine P(1 X

4).

d. What is the probability that none of the 25 boards is defective?

e. Calculate the expected value and standard deviation of X.