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Let X1,X2, . . . ,X36 be a random sample of size 36 from

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

Solution for problem 13E Chapter 5.7

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

Let X1,X2, . . . ,X36 be a random sample of size 36 from the geometric distribution with pmf f (x) = (1/4)x−1(3/4), x = 1, 2, 3, . . . . Approximate

Hint: Observe that the distribution of the sum is of the discrete type.

Step-by-Step Solution:

Problem 13E

Let  be a random sample of size 36 from the geometric distribution with pmf  Approximate

     (a) 

     (b) 

Hint: Observe that the distribution of the sum is of the discrete type.

                                                             Step by step solution

Step 1 of 4

Let X be a geometric random variable with parameter ‘p’.

The probability mass function for a geometric distribution is given by,

The mean and variance are given by,

 

Step 2 of 4

Chapter 5.7, Problem 13E is Solved
Step 3 of 4

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

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Let X1,X2, . . . ,X36 be a random sample of size 36 from