Assignment 4.3

# Suppose x has the following probability distribution

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7. Suppose X has the following probability distribution below. Find the mean of X. X -1 0 1 P(x) .50 .30 .20 a. 0 b. .33 c. -.30 d. None of the above 1

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Suppose X, the number of teller windows open at any given time has the following probability distribution. X 1 2 3 4 P(X) .10 .25 .50 .15 8. How many teller windows will be open on average, over the long term? 9. How variable is the number of open teller windows? Find the appropriate value. Brandt Data Solutions is a retail computer store that sells network cables in retail lengths of 3, 5, 10 and 25 feet. From past records they know that the quantity of sales follows the following probability distribution. X 3 5 10 25 P(X) 0.1 0.2 0.5 0.2 10. Find μ X and interpret. 11. Find σ X and interpret. Data on 1,000 executives at Dogs R Us were collected and are summarized below. There are 3 levels of salary at this company. X 30,000 60,000 90,000 p(x) .45 .40 .15 12. What’s the mean salary? 2
13. What’s the variance of salary? 14. Give everyone a \$5,000 raise. What’s the new average salary? 15. Give everyone in the salary example a 10% raise. What’s the new average salary?

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