Suppose that X has an exponential distribution with mean

Chapter 4, Problem 113E

(choose chapter or problem)

Get Unlimited 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

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,

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back