Old Friends Information Service is a California company that is in the business of fi­nding addresses of long-lost friends. Old Friends claims to have a 70% success rate (Source: The Wall Street Journal). Suppose that you have the names of six friends for whom you have no addresses and decide to use Old Friends to track them.

(a) Make a histogram showing the probability of r = 0 to 6 friends for whom an address will be found.

(b) Find the mean and standard deviation of this probability distribution. What is the expected number of friends for whom addresses will be found?

(c) How many names would you have to submit to be 97% sure that at least two addresses will be found