Given inter arrival mean from an exponential distribution is: 1/lambda = 2.4 The service times should be sampled from a probability density function that has the form: (Cx³, if 0 ≤ x ≤ 2.5 min lo, ifx<0 orx > 2.5 min Question: fx(x)= = How do you use the method of inversion to normalize the constate C that makes fx (x) a proper 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 30CR
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Given inter arrival mean from an exponential distribution is: 1/lambda = 2.4
The service times should be sampled from a probability density function that has the form:
fx (x) = {Cx²
(Cx³,
Question:
if 0 ≤ x ≤ 2.5 min
if x <0 or x > 2.5 min
How do you use the method of inversion to normalize the constate C that makes fx(x) a proper
density function?
Transcribed Image Text:Given inter arrival mean from an exponential distribution is: 1/lambda = 2.4 The service times should be sampled from a probability density function that has the form: fx (x) = {Cx² (Cx³, Question: if 0 ≤ x ≤ 2.5 min if x <0 or x > 2.5 min How do you use the method of inversion to normalize the constate C that makes fx(x) a proper density function?
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