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If X is ?2(23), find the following:(a) P(14.85 < X <

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman ISBN: 9780321923271 41

Solution for problem 13E Chapter 3.2

Probability and Statistical Inference | 9th Edition

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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Probability and Statistical Inference | 9th Edition

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Problem 13E

Problem 13E

If X is χ2(23), find the following:

(a) P(14.85 < X < 32.01).

(b) Constants a and b such that P(a < X < b) = 0.95 and P(X < a) = 0.025.

(c) The mean and variance of X.

Step-by-Step Solution:

Step 1 of 5:

Given that X has a distribution with 23 degrees of freedom.That is n=23.

Therefore mean of X is 23 and variance of X is 2*23=46. That is =23 and =46.

Standard deviation of X becomes =6.7823.That is =6.7823.


Step 2 of 5

Chapter 3.2, Problem 13E is Solved
Step 3 of 5

Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

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If X is ?2(23), find the following:(a) P(14.85 < X <