Handout11 - STOR 435 Handout 11 Sections 5.5, 5.6.1, 5.7...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
STOR 435 Handout 11 Sections 5.5, 5.6.1, 5.7 Example 1 (Exponential rv) . Let λ > 0. If X has exponential distribution with rate λ calculate E ( X ) , var ( X ). Example 2 (Exercise 5.32; Exponential rv) . The time ( in hours) required to repair a machine is an exponentially distributed random variable with parameter λ = 1 / 12 . What is 1. the probability that a repair time exceeds 2 hours? 2. the conditional probability that a repair takes at least 10 hours, given that its duration exceeds 9 hours? Example 3 (Gamma distribution) . If X has a Gamma distribution with pa-
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 05/11/2011 for the course STOR 435 taught by Professor Shakar during the Spring '11 term at University of North Carolina School of the Arts.

Ask a homework question - tutors are online