QUESTION 4The probability density function for the time taken to complete a 1-hour test (X) by studentsis given bya)b)c)Find the value of c.f(x) = {cx² + x !)0≤x≤1elsewhereFind the probability that a randomly selected student will finish in at least half an hour.Calculate the variance of X.

Given information: fx=cx2+x , 0≤x≤10 , elsewhere

Answered: The probability density function for…

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 probability density function for the time taken to complete a 1-hour test (X) by students is given by a) b) Find the value of c. f(x) = {cx² + 0≤x≤1 x ! elsewhere Find the probability that a randomly selected student will finish in at least half an hour. Calculate the variance of X.