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(a) the probability density function f(x) = (b) the mean μ = (c) the standard deviation = II III III I I

(a) the probability density function f(x) = (b) the mean μ = (c) the standard deviation = II III III I I

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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Suppose x is a random variable best described by a uniform probability that ranges from 2 to 4. Compute the following:

(a) the probability density function f(x) = (b) the mean μ = (c) the standard deviation o = I I III m III I
Transcribed Image Text:(a) the probability density function f(x) = (b) the mean μ = (c) the standard deviation o = I I III m III I
Expert Solution
Step 1: Introduce the given information

Given, x is a random variable best described by a uniform probability that ranges from 2 to 4.

That is, x~(2, 4)

Using formula,

If X~(a, b) then, probability density function of X is f left parenthesis X right parenthesis equals fraction numerator 1 over denominator b minus a end fraction space semicolon space a less or equal than X less or equal than b

M e a n comma space mu equals fraction numerator b plus a over denominator 2 end fraction

S tan d a r d space d e v i a t i o n comma space sigma equals square root of left parenthesis b minus a right parenthesis squared over 12 end root

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