probability distribution

Show your work: Assignment 3A (fifteen points)

1. The probability distribution for the rate of return on an investment is
Rate of Return
(In Percent) Probability
6.5 .1
8.8 .2
9.0 .2
10.2 .4
10.6 .1
a. What is the probability that the rate of return will be at least 10%?
b. What is the expected rate of return?
c. What is the variance of the rate of return?
2. In a large university, 85% of students live in dormitories. A random sample of 8 students is
selected. .
a. What is the probability that the sample contains
exactly three students who live in the dormitories?
c. What is the probability that the sample contains
more than three students who live in the
dormitories?
3. A cosmetics salesperson, who calls potential customers to sell her products, has determined
that 20% of her telephone calls result in a sale. Determine the probability distribution for her next three calls.
Note that the next three calls could result in 0, 1, 2, or 3 sales.
Q4. An insurance company has determined that each week an average of fifteen claims are filed in their
Atlanta branch. What is the probability that during the next week
a. Exactly seven claims will be filed?
b. Less than four claims will be filed?
d. More than eighteen claims will be filed?
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