When circuit boards used in the manufacture of compact disc…

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. a. What distribution is the best fit to model the behavior of this variable? b. Determine P(X ≤ 1). c. Determine P(X ≥ 4). d. Determine P(2 ≤ X < 4). e. Calculate the expected value and standard deviation of X.