Book edition OER 2018

Author(s) Barbara Illowsky, Susan Dean

Pages 902 pages

ISBN 9781938168208

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Short Answer

Find the probability that x falls in the shaded area.

The probability that $x$ falls in the shaded area is: $P (2.5 \leq x \leq 5.5) = 0.3$

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Given Information

Given in the question that a graph.

We have to find the probability that $x$ falls in the shaded area.

Step 2: Calculation

From the information, we know that

$f (x) = \{\begin{cases} \frac{1}{10}, 0 \leq x \leq 10 \\ 0, otherwise \end{cases}$

Let's consider the graph first, Where we obtain that the shaded region is $2.5 \leq x \leq 5.5$ .

Therefore, the probability of the shaded region will be,

$P (2.5 \leq x \leq 5.5) = \int_{2.5}^{5.5} \frac{1}{10} d x$

$= \frac{1}{10} [x]_{2.5}^{5.5}$

$= \frac{1}{10} [5.5 - 2.5]$

$= \frac{3}{10}$

$= 0.3$

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Introductory Statistics

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Short Answer

Find the probability that x falls in the shaded area.

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Step 1: Given Information

Step 2: Calculation

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Introductory Statistics

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Short Answer

Find the probability that x falls in the shaded area.

Step by Step Solution

Step 1: Given Information

Step 2: Calculation

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