Solution Found!
Suppose that X has an exponential distribution with mean
Chapter 4, Problem 113E(choose chapter or problem)
Suppose that X has an exponential distribution with mean equal to 10. Determine the following:
(a) \(P(X>10)\) (b) \(P(X>20)\) (c) \(P(X<30)\)
(d) Find the value of x such that \(P(X<x)=0.95\).
Equation transcription:
Text transcription:
P(X>10)
P(X>20)
P(X<30)
P(X<x)=0.95
Questions & Answers
QUESTION:
Suppose that X has an exponential distribution with mean equal to 10. Determine the following:
(a) \(P(X>10)\) (b) \(P(X>20)\) (c) \(P(X<30)\)
(d) Find the value of x such that \(P(X<x)=0.95\).
Equation transcription:
Text transcription:
P(X>10)
P(X>20)
P(X<30)
P(X<x)=0.95
ANSWER:Step 1 of 6
Given,
The mean = 10.
Consider X has an exponential distribution with mean equal to 10. The cumulative distribution function of X is,
Then the mean of the exponential distribution with the parameter is,
So, the parameter,