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:
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:
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
Problem 57CR
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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
lo otherwise
where c is a constant. Round your answers to four decimal places.
f(x) =
< >
a) Find the constant c. .0299
0≤x≤ 3.4
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b) Find the probability that he leaves less than 1.9 minutes after 7:00 PM.
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