# Math

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 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 five 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 three and seven (inclusive) companies that outsource overseas use a consultant?
e. Construct a graph for this binomial distribution.

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1. Prob(using consultant) = 20/100 = 1/5
prob(NOT using consultant) = 4/5

a) prob(exactly 5 of 15 use con) = C(15,5) (1/5)^5 (4/5)^10 = ...

b) find the probs for exactly 12, exactly 13 ... exactly 15 and add up those 4 cases.

c) find prob(that all 15 use a con) and subtract that from 1

d) What do you think?

e) all yours,

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Reiny

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