Gladys, the secretary of a law firm, noticed that the arrival time Xof a client within a 30-minute period has the rectangular distribution.Thus, X Uni(a = 0, b = 30) with probability density functionf(x) = .0 ≤ x ≤ 30.30'a. Find the mean and standard deviation of X.b. What is the probability that a client will arrive during the last tenminutes of a given 30-minute period?

It is given that X ~ Uni( a = 0, b = 30 ) The pdf of Uniform distribution is f(x) = 1/30, 0 ≤ x ≤…

Answered: a. Find the mean and standard deviation…

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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a. Find the mean and standard deviation of X. b. What is the probability that a client will arrive during the last ten minutes of a given 30-minute period?