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If X is N(650, 625), find(a) P(600 ? X < 660).(b) A

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

Solution for problem 7E Chapter 3.3

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 7E

If X is N(650, 625), find

(a) P(600 ≤ X < 660).

(b) A constant c > 0 such that P(|X −650| ≤ c) = 0.9544.

Step-by-Step Solution:
Step 1 of 3

Solution 7E

Step1 of 3:

We have We have random variable X which follows normal distribution with mean 650 and variance 625.

That is

                                                     = 25.

We need to find,

(a) P(600 ≤ X < 660).

(b) A constant c > 0 such that P(|X −650| ≤ c) = 0.9544.

Step2 of 3:

Let “X” be random variable which follows normal distribution with parameters .

That is X N()

            X N[625]

The probability mass function of normal distribution is given by

,

Where,

= mean of X

= variance

 = standard deviation.

a).

P(600 ≤ X < 660) =  

                             = ...

Step 2 of 3

Chapter 3.3, Problem 7E is Solved
Step 3 of 3

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

Since the solution to 7E from 3.3 chapter was answered, more than 794 students have viewed the full step-by-step answer. This full solution covers the following key subjects: constant, Find, such. This expansive textbook survival guide covers 59 chapters, and 1476 solutions. The answer to “If X is N(650, 625), find(a) P(600 ? X < 660).(b) A constant c > 0 such that P(|X ?650| ? c) = 0.9544.” is broken down into a number of easy to follow steps, and 24 words. The full step-by-step solution to problem: 7E from chapter: 3.3 was answered by , our top Statistics solution expert on 07/05/17, 04:50AM. This textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9. Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271.

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