# Question: In the past few years outsourcing overseas has become more

In the past few years, outsourcing overseas has become more frequently used than ever before by U.S. 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. What is the probability that exactly five companies that outsource overseas use a consultant?
b. What is the probability that more than nine companies that outsource overseas use a consultant?
c. What is the probability that none of the companies that outsource overseas use a consultant?
d. What is the probability that between four and seven (inclusive) companies that outsource overseas use a consultant?
e. Construct a graph for this binomial distribution. In light of the graph and the expected value, explain why the probability results from parts (a) through (d) were obtained.

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