During World War II, an economical procedure for testing syphilitic (i.e., diseased) men among military inductees was initiated to test the blood of groups of n men by combining the blood samples of all n men in a group and performing one test on the combined sample. If no one in the group had the disease, the test would be negative, and only the one test was required. If at least one individual was diseased, the test on the combined sample would yield a positive result, in which case n individual tests would then be carried out. Assume that p is the probability that a randomly selected man has the disease. Compute the expected number of tests if p = 0.1 and n = 3. Evaluate and plot the expected number of tests as n is increased from 3 to 10 in increments of 1.