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: [cr³ if f(x) = to where c is a constant. Round your answers to four decimal places. otherwise a) Find the constant c. 0

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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Question 10
cx³ if
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:
▼
otherwise
a) Find the constant c.
>
where c is a constant. Round your answers to four decimal places.
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0<x<3.4
b) Find the probability that he leaves less than 0.8 minutes after 7:00 PM.
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Transcribed Image Text:Question 10 cx³ if 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: ▼ otherwise a) Find the constant c. > where c is a constant. Round your answers to four decimal places. Submit Question 0<x<3.4 b) Find the probability that he leaves less than 0.8 minutes after 7:00 PM. Search
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