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The maximum time to complete a task in a project is 2.5
Chapter 4, Problem 189E(choose chapter or problem)
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