Question 2The continuous random variable T denotes the time in hours that employees devoteon overtime. The cumulative distribution function of T is(a)(b)(c)CONFIDENTIAL(d)Show that m=(e)1627F(t)Find E(T).=Find the proportion of employees who devote more than 1 hour on overtime.t<0,(21³-14), 0≤t≤ 1.5,t> 1.5.- 3-Find the probability density function f(t) of T.CONFIDENTIALMAT 161An employee is chosen at random. Calculate the probability that the employeedevoted more than 1 hour on overtime, given that the employee devoted morethan the mean amount of time on overtime.

CDF of T is given by, F(t) = 0t<0m(2t3-t4)0≤t≤1.51t>1.5 T is continuous distribution. So,…

Answered: The continuous random variable T…

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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The continuous random variable T denotes the time in hours that employees devote on overtime. The cumulative distribution function of T is F(t): t<0, ¹ (21³-14), 0≤t≤ 1.5, t> 1.5.