13. For each of the collections of the subsets of 2 = {W1, W2, W3, W4} set out below, statewhether it is a σ-algebra. If it is not, explain why.(a) F₁ = P(N).(b) F₂ = {0, N}.(c) F3 = {0, {w1}, {W2, W3}, {w₁}, }.(d) F₁ = {0, {w1}, {W2, W3, W1}, N}.14. Let N = {w1, W2, W3, W1}. A random variance X : → R hasX=1 in state wi3 in state W3-2 in states W2, W4Let F={0, {w1, w₂}, {w3, W₁}, }.(a) Is F is a σ-algebra? Give a brief explanation for your answer.(b) Is X F-measurable? Give a brief explanation for your answer.

Step 1: 13. To check if each collection is a σ-algebra, we need to check three properties:It…

Answered: 13. For each of the collections of the…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.3: The Exponential Distribution

Problem 3P

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