The weekly amount of downtime Y (in hours) for an industrial machine has approximately a gamma distribution with a = 3 and ß = 2. The loss L (in dollars) to the industrial operation as a result of this downtime is given by L = 20Y + 3y2. Find the expected value and variance of L. E(L) = $ V(L) =

The weekly amount of downtime Y (in hours) for an industrial machine has approximately a gamma distribution with a = 3 and ß = 2. The loss L (in dollars) to the industrial operation as a result of this downtime is given by L = 20Y + 3y2. Find the expected value and variance of L. E(L) = $ V(L) =

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.3: Modeling Data With Power Functions

Problem 3TU

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Question

9
The weekly amount of downtime Y (in hours) for an industrial machine has approximately a gamma distribution with a = 3 and ß = 2. The loss L (in dollars) to the industrial operation as a result of this downtime is
given by L = 20Y + 3Y2. Find the expected value and variance of L.
E(L) = $
V(L) =

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