Continuous Random Variables

First, this section talks about how to describe continuous distributions and compute related probabilities, including some basic facts about the normal distribution. Then, it covers how to compute probabilities related to any normal random variable and gives examples of using z-score transformations. Finally, it defines tail probabilities and illustrates how to find them.

Areas of Tails of Distributions

Answers

1. a. -2.43
b. 2.17
c. -1.28

d. 2.29

3. a. -1.04
b. 0.67
c. 0.43

d. -0.84

5. a. 1.96

b. 0.84

7. a. 87.52

b. 89.58

9. 15.32

11. a. 382

b. 415

13. 7030.14, 7069, 7107.86

15. 85.90

17. 65,054

19. 1.58, 1.86

21. 66.5, 78.5

23. a. 0.5
b. 2.005