SOC 885 Study Guide - Final Guide: Gamma Distribution

• School: Ryerson University
• Department: Sociology
• Course: SOC 885
• Professor: Abednego Aryee

Document Summary

Find an interval that will contain l for at least 89% of the weeks that the machine is in use. The weekly amount of downtime y (in hours) for an industrial machine has approximately a gamma distribution with = 3 and = 2. The loss l (in dollars) to the industrial operation as a result of this downtime is given by l = 30y + 2y 2. Find the expected value and variance of l. The weekly amount of downtime y (in hours) for an industrial machine has approximately a gamma distribution with and. A random variable y is said to have a gamma distribution with parameter and. , if and only if the density function of y is. Given that the loss l (in dollars) to the industrial operation as a result of this downtime is given by. We need to find the expectation and variance of. The expected value of a continuous random variable y is.