Let f (x) = (x + 1)/2, ?1 < x < 1. Find (a) ?0.64, (b) q1

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

ISBN: 9780321923271 41

Solution for problem 16E Chapter 3.1

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Problem 16E

Let f (x) = (x + 1)/2, −1 < x < 1. Find (a) π0.64, (b) q1 = π0.25, and (c) π0.81.

Step-by-Step Solution:

Answer :

Step 1 of 3:

Let f(x) = $\frac{(x+1{)}_{\ }}{2},$ $-1<x<1$

Our goal is to find

a). ${\pi{}}_{0.64}$

b). ${q}_{1}={\pi{}}_{0.25}$ and

c). ${\pi{}}_{0.81}$

a).

The conditional distribution function is

F(x) = $\int\limits_{-\infty{}}^{x}f(t)\ dt$ (here f(t) = $\frac{t\ +\ 1}{2}$ $1<x<1$ )

$F\left({{\pi{}}_{0.64}}\right)=0.64$

$0.64=$ $\frac{{({\pi{}}_{0.64\ }+\ 1)}^{2}}{4}$

$0.64=$ $-1\pm{}\sqrt{4\times{}0.64}$

$0.64=$ $1\pm{}1.6$

Since $0\leq{}{\pi{}}_{0.64}\leq{}1\Rightarrow{}{\pi{}}_{0.64\ }=0.6$

Therefore ${\pi{}}_{0.64\ }=0.6$ .

Step 2 of 3

Chapter 3.1, Problem 16E is Solved

Step 3 of 3

Textbook: Probability and Statistical Inference

Edition: 9

Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

ISBN: 9780321923271

The answer to “Let f (x) = (x + 1)/2, ?1 < x < 1. Find (a) ?0.64, (b) q1 = ?0.25, and (c) ?0.81.” is broken down into a number of easy to follow steps, and 22 words. Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271. This full solution covers the following key subjects: Find, let. This expansive textbook survival guide covers 59 chapters, and 1476 solutions. The full step-by-step solution to problem: 16E from chapter: 3.1 was answered by , our top Statistics solution expert on 07/05/17, 04:50AM. Since the solution to 16E from 3.1 chapter was answered, more than 660 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9.

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Let f (x) = (x + 1)/2, ?1 < x < 1. Find (a) ?0.64, (b) q1

Solution for problem 16E Chapter 3.1

Chapter 3.1, Problem 16E is Solved

Textbook: Probability and Statistical Inference

Edition: 9

Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

ISBN: 9780321923271

Other solutions

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