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 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
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 42E
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c62a616-6a2f-456f-ac81-c6090d5022b3%2F2d1f47d7-66d3-4872-bbbd-80bbfad5b19b%2Fs265agb_processed.jpeg&w=3840&q=75)
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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