# In the past few years, outsourcing overseas has become more frequently used than ever before by… 1 answer below »

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 byPurchasing magazine 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 four companies that outsource overseas use a consultant?
b. What is the probability that more than eleven 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 five and seven (inclusive) companies that outsource overseas use a consultant?
e. Construct a graph for this binomial distribution.
*Round the intermediate values to 4 decimal places. Round your answer to 4 decimal places, the tolerance is +/-0.0005.
**Round your answer to 3 decimal places when calculating using Table A.2.