______ 3. The CDF of a continuous random variable can show increases and decreases. _____ FALSE______ 4. The median is equal to the expected value for all continuous random variables. Write the letter of your choice on the line before the question number.

5. Let ?~𝑁(? = 3, 𝜎 = 2), ?~𝑁(? = 7.5, 𝜎 = 3)be independent normal random variables. Another random variable Y is defined as ? = −? + ?. What can be determined about the distribution of Y? (3 points)

A random variable, X, has a normal distribution with a mean of 132 and a variance of 49. Answer questions 6-7 below using this information and the Empirical Rules. __B__6. What is the probability that X is between 132 and 146? (2 points)

7.What is value of the 84thpercentile of this distribution? (2 points)

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Chapter 2 / Exercise 7

**Spreadsheet Modeling & Decision Analysis: A Practical Introduction to Business Analytics**

Ragsdale

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8.If you know that P(X > 5)= 0.6, fill in the chart for the other values (either an exact value or a range of values. (6 points) 9.It is known that the height of adult males in the United States, follows a Normal distribution with an average of 5’10” (70 inches) and a standard deviation of 3.78 inches.Let X be the height of a US adult male in inches. X~ 𝑁(? = 70, 𝜎 = 3.78)a)What is the probability that an adult US male is taller than 72 inches? (3 points)

b)What is the probability that an adult US male is within 3 inches of the mean? (4 points)

c)What height marks off the 3rdquartile of adult US male heights? (3points)