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: (cx³ if 0≤x≤ 3.4 f(x) = 10 where c is a constant. Round your answers to four decimal places. otherwise

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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Question 8
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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:
Jcx³ if
10
where c is a constant. Round your answers to four decimal places.
otherwise
a) Find the constant c.
<
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0≤x≤ 3.4
b) Find the probability that he leaves less than 1.9 minutes after 7:00 PM.
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Transcribed Image Text:Question 8 ▼ 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: Jcx³ if 10 where c is a constant. Round your answers to four decimal places. otherwise a) Find the constant c. < Submit Question 0≤x≤ 3.4 b) Find the probability that he leaves less than 1.9 minutes after 7:00 PM. Search
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