(Midterm, 1996) Suppose you are a government employee and that three out of every ten of
your telephone calls made at work are for personal reasons. The government randomly
samples ten numbers that you dialed.
(a) What is the expected number of personal calls?
(b) What is the standard deviation?
(c) What is the probability that no more than one of the calls was for personal reasons?
(d) What is the probability that exactly three of the calls were for personal reasons?
(e) What is the probability that more than five of the calls were for personal reasons?
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View Full Document(2006, Q5) Suppose you are a consultant providing professional service to a particular
industry. A major firm is interested in your service. There are three options for calculating
your fee based on the performance rating. From past experience, you estimated the following
probability distribution.
a.
For option 1, the fee equals to the performance rating multiply by $120,000. Please
calculate the expectation and variance of your fee.
b.
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 Spring '09
 AnthonyChan
 Variance, Probability theory, Performance Rating, personal reasons

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