. (6 pts) A store has 80 modems in its inventory, 30 coming from Source A and the remainder from Source B. Of the modems in inventory from Source A, 20% are defective. Of the modems in inventory from Source B, 8% are defective. Suppose a random sample of 5 modems is selected without replacement from the store's inventory. (a) Compute the total number of defective modems in inventory. (b) Compute the probability that exactly two of the five sampled modems are defective. Be sure to clearly define an appropriate random variable, specify its distribution with all parameters, and write the probability symbolically. (c) Compute the expected number of defective modems among the five sampled.