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, 0.05)
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?