When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 4%. Let X = number of defective boards in a random sample of size n = 25 boards. So X ~ Bin(25,0.04)
a. Determine P(X < 1)
b. Determine P(1 < X < 4)
c. Determine P(X > 5)
d. Find the expected number of defective boards or E[X]
e. Find the variance of the number of defective boards or Var[X]