An office wishes to buy eight tablet computers for use by their employees. The local electronics store has30 tablets in stock, of which three are defective. You may assume that the eight tablets will be selected at random from the 30 available tablets. Let X represent the number of defective tablets out of the eight that willbe purchased.
(a) What is the probability distribution of X? Specify any relevant parameter values.
(b) What is the probability that at most one of the eight tablets will be defective? (ANSWERS WITH AN EXPLANATION PLEASE)