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

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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:
f(x) =
<
fcx³ if
o
where c is a constant. Round your answers to four decimal places.
a) Find the constant c.
otherwise
>
Submit Question
0≤x≤ 3.4
b) Find the probability that he leaves less than 1.9 minutes after 7:00 PM.
Search
T
LE
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: f(x) = < fcx³ if o where c is a constant. Round your answers to four decimal places. a) Find the constant c. otherwise > Submit Question 0≤x≤ 3.4 b) Find the probability that he leaves less than 1.9 minutes after 7:00 PM. Search T LE
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