A recent survey indicates that 20% of the health insurance companies that outsource overseas use as a consultant. Suppose 15 companies that outsource overseas are randomly selected. (i) What is the probability that exactly 5 companies that outsource overseas use a consultant? (ii) What is the probability that more than 9 companies that outsource overseas use a consultant? (iii) What is the probability that between 4 and 7 (inclusive) companies that outsource overseas use a consultant? (iv) Construct a graph for this binomial distribution. In the light of graph and the expected value, explain the probability from parts (i) through (iv) were obtained