Question 8A certain employee never leaves work before 7:00 PM but always leaves within 3.4 minutes after 7:00 PM.Suppose that the time X that he leaves after 7:00 PM has the following probability density function:f(x) =<fcx³ ifowhere c is a constant. Round your answers to four decimal places.a) Find the constant c.otherwise>Submit Question0≤x≤ 3.4b) Find the probability that he leaves less than 1.9 minutes after 7:00 PM.SearchTLE

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A certain employee never leaves work before 7:00 PM but always leaves within 3.4 minutes after 7:00 PM Suppose that the time X that he leaves after 7:00 PM has the following probability density function: fcx³ if f(x) = 10 otherwise 0≤x≤ 3.4