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Q.5.1

Expert-verified

Introductory Statistics

Found in: Page 316

Book edition OER 2018

Author(s) Barbara Illowsky, Susan Dean

Pages 902 pages

ISBN 9781938168208

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Short Answer

Consider the function $f (x) = \frac{1}{8}$ for $0 \leq x \leq 8$ . Draw the graph of $f (x)$ and find $P (2.5 < x < 7.5)$ .

The graph of the $P (2.5 < x < 7.5)$ is

The value of the $P (2.5 < x < 7.5)$ will be $0.625$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Given information

Given in the question that the function $f (x) = \frac{1}{8}$ for $0 \leq x \leq 8$

Step 2: Solution

Here,

$f (x) = \{\begin{cases} \frac{1}{8}, 0 \leq x \leq 8 \\ 0, otherwise \end{cases}$

The graph of $f (x)$ for $P (2.5 < x < 7.5)$ is drawn below,

Step 4: Solution

Again the required probability will be

$P (2.5 < x < 7.5) = base \times height$

$= (7.5 - 2.5) \times (\frac{1}{8})$

$= 5 \times \frac{1}{8}$

$= 0.625$

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