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For a uniform random variable U∼U(2,11)U∼U(2,11), find the probability P(U<9)P(U<9): P(U<9)=P(U<9)= (Round the answer to 4 decimal places)

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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Question

For a uniform random variable U∼U(2,11)U∼U(2,11), find the probability P(U<9)P(U<9):

P(U<9)=P(U<9)= (Round the answer to 4 decimal places)

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Expert Solution

Step 1

$Given A random variable x ~ Uniform (2, 11) f (x) = \frac{1}{b - a}; a < x < b f (x) = \frac{1}{11 - 2} f (x) = \frac{1}{9}; 2 < x < 11$

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