Question: In the past few years outsourcing overseas has become more frequently used than ever before by US companies. However, outsourcing is not without problems. A recent survey by Purchasing indicates that 20% of the companies that outsource overseas use a consultant. Suppose 15 companies that outsource overseas are randomly selected. a. Compute the expected value, variance and standard deviation of the above distribution. (5 points)

b. What is the probability that five companies that outsource overseas use a consultant? (2 points)

c. What is the probability that none of the companies that outsource overseas use a consultant? (2 points)

d. What is the probability that between four and seven (inclusive) companies that outsource overseas use a consultant? (4 points)

e. What is the probability that no more than 12 companies that outsource overseas use a consultant? (4 points)

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