Consider the following program statement consisting of a while loop while B do S Assume that the Boolean expression B takes the value true with probability p and the value false with probability q. Assume that the successive test on B are independent. 1. Find the probability that the loop will be executed k times. 2. Find the expected number of times the loop will be executed. 3. Considering the same above assumptions, suppose the loop is now changed to

repeat S until B What is the expected number of times that the repeat loop will be executed?