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Chapter 7 Financial Management

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Submitted By brittani11
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Chapter 7
Continuous Probability Distributions

1. a. a = 6 b = 10 b. 8, found by (6 + 10)/2 c. 1.1547 found by [pic] d. [1/(10 – 6)](10 – 6) = 1 e. 0.75, found by [1/(10 – 6)](10 – 7) f. 0.5, found by [1/(10 – 6)](9 – 7) (LO 2)

2. a. a = 2 b = 5 b. 3.5, found by (2 + 5)/2 c. 0.8660 found by [pic] d. [1/(5 – 2)](5 – 2) = 1 e. 0.8, found by [1/(5 – 2)](5 – 2.6) f. 0.2667, found by [1/(5 – 2)](3.7 – 2.9) (LO 2)

3. a.

b. Mean is 65 found by (60 + 70) / 2; Variance is 8.3333 found by [(70 – 60) ^ 2] / 12 c. 0.8 found by [1 / (70 – 60)] (68 – 60) d. 0.6 found by [1 / (70 – 60)] (70 – 64) (LO 2)

4. a. Mean is 2100 found by (400 + 3800) / 2 b. 981.50 found by[pic] c. 0.4706 found by [1 / (3800 - 400)] * (2000 – 400) d. 0.2353 found by [1 / (3800 - 400)] * (3800 – 3000) (LO 2)

5. a. a = 0.5, b = 3.0 b. Mean is 1.75, found by (0.5 + 3.0)/2 Standard deviation is 0.72, found by [pic] c. 0.2, found by [1/(3.0 – 0.5](1.0 – 0.5) d. 0.0, found by [1/(3.0 – 0.5](1.0 – 1.0) e. 0.6, found by [1/(3.0 – 0.5](3.0 – 1.5) (LO 2)

6. a. a = 0.5, b = 10.0 (using minutes as the units) b. Mean is 5.25, found by (0.5 + 10)/2 Standard deviation is 2.74, found by [pic] c. 0.5263, found by [1/(10 – 0.5]*(10 – 5) d. 2.875, found from [1/(10 – 0.5]*(x – 5) = 0.25 and 7.625 found from [1/(10 – 0.5]*(10 – x) = 0.25 (LO 2)

7. The actual shape of a normal distribution depends on its mean and standard deviation. Thus, there is a normal distribution, and an accompanying normal curve, for a mean of 7 and a standard deviation of 2. There is another normal curve for a mean of $25,000 and a standard deviation of $1742, and so on. (LO 3)

8. It is bell shaped and

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