3. Let M(t₁, t₂, t3, t4) be the joint moment generating function of (X₁, X2, X3, X 4). The moment generating function of the sum of X₁, X2, X3, X 4 can be obtained by setting t₁ = t₂ = t3 = t4 in M. True or False. Circle one. Provide reason for the answer.

3. Let M(t₁, t₂, t3, t4) be the joint moment generating function of (X₁, X2, X3, X 4). The moment generating function of the sum of X₁, X2, X3, X 4 can be obtained by setting t₁ = t₂ = t3 = t4 in M. True or False. Circle one. Provide reason for the answer.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

3. Let M(t₁, t₂, t3, t4) be the joint moment generating function of (X₁, X2, X3, X 4). The moment generating function of
the sum of X₁, X2, X3, X 4 can be obtained by setting t₁ = t₂ = t3 = t4 in M. True or False. Circle one. Provide reason for
the answer.

Expert Solution

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Solution -Let M(t₁,t₂,t₃,t₄) be the joint moment generating function of (X₁,X₂,X₃,X₄). The moment generating function of the sum of X₁,X₂,X₃,X_{4 can be obtained by setting t1=t2=t3=t4 in M.}

_{Answer- TRUE}

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