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? = 25.
a. Determine P(X ? 3).
b. Determine P(X ? 8).
c. What is the probability that exactly 5 of the 25 boards are defective (i.e., P(X = 5))?
d. Calculate the expected value and variance of X.