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In the past few years, outsourcing overseas has become more frequently used than ever before by...

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 four 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 five and seven (inclusive) companies that outsource overseas use a consultant?

*(Round intermediate values to 4 decimal places. Round your answer to 4 decimal places.)
**(Round your answer to 3 decimal places when calculating using
Table A.2.)

a. P(x = 4) =   *
b. P(x > 9) =   **
c. P(x = 0) =   *
d. P(5 ≤ x ≤ 7) =   **

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