Solved: Assume that Z has a standard normal distribution.

Chapter 4, Problem 65E

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QUESTION:

Assume that Z has a standard normal distribution. Use Appendix Table III to determine the value for z that solves each of the following:

(a) P(Z <z) = 0.9                 (b) P(Z <z) = 0.5

(c) P(Z >z) = 0.1                 (d) P(Z >z) = 0.9

(e) P(−1.24< Z < z) = 0.8

Questions & Answers

QUESTION:

Assume that Z has a standard normal distribution. Use Appendix Table III to determine the value for z that solves each of the following:

(a) P(Z <z) = 0.9                 (b) P(Z <z) = 0.5

(c) P(Z >z) = 0.1                 (d) P(Z >z) = 0.9

(e) P(−1.24< Z < z) = 0.8

ANSWER:

Solution:

Step 1 of 6:

It is given that the random variable Z has the standard Normal distribution.

We are given with some probability values.We need to find the value of z which yields this given probabilities using the cumulative Standard Normal Distribution table.


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