. *Show all work for full credit.*

1. Find the probability of **rolling a 9** when two dice are rolled. Show your work.

2. For the following two bell curves, describe any commonalities and differences between them, specifically, regarding the variance and the mean.

3. Mary sells houses. Calculate the ** expected value** of the number of houses Mary sells per day.

4. Calculate the probability that a standard normal random variable is between 0 and 3.0.

5. Calculate the probability that a standard normal random variable is between 0 and 1.75.

6. The following table includes the profit and probabilities for an investment instrument. Calculate the variance and standard deviation. You will have shown the risk or volatility of this investment.

7. Calculate the probability that a standard normal random variable is between −2.50 and 0.

8. Calculate the probability that a standard normal random variable is between 1.5 and 3.0.

9. (Using a z-transformation) Suppose that a national testing service gives a test in which the results are normally distributed with a mean of 450 and a standard deviation of 115. If you score a 674 on the test, what fraction of the students taking the test exceeded your score?

10. Calculate the probability that a standard normal random variable is between −1.20 and 0.

Subject | Mathematics |

Due By (Pacific Time) | 12/07/2014 12:00 am |

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