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.

Probability Computations for General Normal Random Variables

Answers

1. a. 0.6628
b. 0.0359
c. 0.7881

d. 0.0150

3. a. 0.5959
b. 0.2899

C. 0.3439

5. a. 0.0000

b. 0.9131

7. a. 0.0013,0.0013
b. 0.1587,0.1587
c. 0.0001,0.0001

d. 0.0099,0.0099

9. a. 0.4412
b. 0.1236
C. 0.1676
d. 0.0208

11. a. 0.9772
b. 0.5000

13. 0.1830

15. 0.4971

17. 0.9980

19. 0.6771

21. 0.0359

23. a. 0.4038
b. 0.0266

25. a. 0.9082
b. 0.5612

27. 0.089