Problem 16E

If X is a continuous random variable, argue that

P(x1 ≤ X ≤ x2 ) = P(x1 < X ≤ x2 )= P(x1 ≤ X < x2 )= P(x1 < X < x2 ).

Solution:

Step 1 of 2:

Let X is a continuous random variable.

We have to prove that P() = P(X) = P()= P().

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ISBN: 9781118539712
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Applied Statistics and Probability for Engineers | 6th Edition

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Problem 16E

Problem 16E

If X is a continuous random variable, argue that

P(x1 ≤ X ≤ x2 ) = P(x1 < X ≤ x2 )= P(x1 ≤ X < x2 )= P(x1 < X < x2 ).

Step-by-Step Solution:

##### Textbook: Applied Statistics and Probability for Engineers

##### Edition: 6

##### Author: Douglas C. Montgomery, George C. Runger

##### ISBN: 9781118539712

Solution:

Step 1 of 2:

Let X is a continuous random variable.

We have to prove that P() = P(X) = P()= P().

Step 2 of 2
###### Chapter 4.2, Problem 16E is Solved

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This textbook survival guide was created for the textbook: Applied Statistics and Probability for Engineers , edition: 6. This full solution covers the following key subjects: argue, Continuous, random, variable. This expansive textbook survival guide covers 97 chapters, and 2005 solutions. The full step-by-step solution to problem: 16E from chapter: 4.2 was answered by , our top Statistics solution expert on 07/28/17, 07:57AM. Since the solution to 16E from 4.2 chapter was answered, more than 235 students have viewed the full step-by-step answer. The answer to “If X is a continuous random variable, argue thatP(x1 ? X ? x2 ) = P(x1 < X ? x2 )= P(x1 ? X < x2 )= P(x1 < X < x2 ).” is broken down into a number of easy to follow steps, and 33 words. Applied Statistics and Probability for Engineers was written by and is associated to the ISBN: 9781118539712.

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If X is a continuous random variable, argue thatP(x1 ? X ?