A lot of 50 items has two defective items and 48 nondefective items. A random sample of 5 items is to be selected from the lot without replacement, where every possible sample of 5 items has the same probability of being the selected sample.
a) How many samples are possible?
b) If X is the number of defective items in the sample, what are the possible values of X?
c) What is the probability that the selected sample will have one defective item and four nondefective items?
d) What is the expected number of defective items in the sample?
e) What is the standard deviation of the number of defective items in the sample?