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(e) P(1.62 ≤ x ≤ a) = 0.24 a = 2.24

(e) P(1.62 ≤ x ≤ a) = 0.24 a = 2.24

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 a random variable x is best described by a uniform probability distribution with range 2 to 5. Find the value of a that makes the following probability statements true. Help with the last question

(d) P(x > a) = 0.86 a = 2.42 (e) P(1.62 ≤ x ≤ a) = 0.24 a = 2.24
Transcribed Image Text:(d) P(x > a) = 0.86 a = 2.42 (e) P(1.62 ≤ x ≤ a) = 0.24 a = 2.24
Expert Solution
Step 1: Introduction:

From provided information:

X~U [a=2, b=5]

For uniform distribution, the probability density function is given by:

table row cell f open parentheses x close parentheses end cell equals cell fraction numerator 1 over denominator b minus a end fraction semicolon space space a less or equal than x less or equal than b comma space a greater than b end cell row blank equals cell 0 space space space space space space space space space space space space space space space semicolon space space Otherwise end cell end table



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