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Let X be the amount of time (in hours) the wait is to get a table at a restaurant. Suppose the cdf is represented by F(x)= Use the cdf to determine P(0.5 ≤X ≤ 1). { 4 1 = x < 0 0≤x≤2 x > 2

Let X be the amount of time (in hours) the wait is to get a table at a restaurant. Suppose the cdf is represented by F(x)= Use the cdf to determine P(0.5 ≤X ≤ 1). { 4 1 = x < 0 0≤x≤2 x > 2

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Let \( X \) be the amount of time (in hours) the wait is to get a table at a restaurant. Suppose the cumulative distribution function (cdf) is represented by \[ F(x) = \begin{cases} 0 & x < 0 \\ \frac{x^2}{4} & 0 \leq x \leq 2 \\ 1 & x > 2 \end{cases} \] Use the cdf to determine \( P(0.5 \leq X \leq 1) \).
Transcribed Image Text:Let \( X \) be the amount of time (in hours) the wait is to get a table at a restaurant. Suppose the cumulative distribution function (cdf) is represented by \[ F(x) = \begin{cases} 0 & x < 0 \\ \frac{x^2}{4} & 0 \leq x \leq 2 \\ 1 & x > 2 \end{cases} \] Use the cdf to determine \( P(0.5 \leq X \leq 1) \).
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Step 1

Formula 

For continuous distribution

P(a≤x≤b)=F(b)-F(a) 

 

 

 

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