3.3.24. Let X₁, X2 be two independent random variables having gamma distribu- tions with parameters a₁ = 3, 3₁ = 3 and 02 = 5, 3₂= 1, respectively. (a) Find the mgf of Y = 2X₁ +6X₂. (b) What is the distribution of Y?
3.3.24. Let X₁, X2 be two independent random variables having gamma distribu- tions with parameters a₁ = 3, 3₁ = 3 and 02 = 5, 3₂= 1, respectively. (a) Find the mgf of Y = 2X₁ +6X₂. (b) What is the distribution of Y?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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