The maximum time to complete a task in a project is 2.5

Chapter 4, Problem 189E

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

The maximum time to complete a task in a project is 2.5 days. Suppose that the completion time as a proportion of this maximum is a beta random variable with \(\alpha=2\) and \(\beta=3\)\). What is the probability that the task requires more than two days to complete?

Questions & Answers

QUESTION:

The maximum time to complete a task in a project is 2.5 days. Suppose that the completion time as a proportion of this maximum is a beta random variable with \(\alpha=2\) and \(\beta=3\)\). What is the probability that the task requires more than two days to complete?

ANSWER:

Solution:

Step 1 of 2:

       Let us suppose that W = Time to complete task.

          And let X = beta random variable with  

       

                       

 

                     The beta density function is

                              

                          Where,

                           Then,

                            

                                         [since

                                     

                           

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