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Get Full Access to Probability And Statistical Inference - 9 Edition - Chapter 3.2 - Problem 15e
Get Full Access to Probability And Statistical Inference - 9 Edition - Chapter 3.2 - Problem 15e

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# Let the distribution of X be ?2(r).(a) Find the point at ISBN: 9780321923271 41

## Solution for problem 15E Chapter 3.2

Probability and Statistical Inference | 9th Edition

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Problem 15E

Let the distribution of X be χ2(r).

(a) Find the point at which the pdf of X attains its maximum when r ≥ 2. This is the mode of a χ2(r) distribution.

(b) Find the points of inflection for the pdf of X when r ≥ 4.

(c) Use the results of parts (a) and (b) to sketch the pdf of X when r = 4 and when r = 10.

Step-by-Step Solution:

Step 1 of 4:

Let the distribution of ‘X’ be The probability density function of distribution with ‘r’ degrees of freedom is Step 2 of 4

Step 3 of 4

##### ISBN: 9780321923271

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