Solution Found!
Let X1,X2,X3,X4,X5 be a random sample of size 5 from a
Chapter 5, Problem 6E(choose chapter or problem)
Problem 6E
Let X1,X2,X3,X4,X5 be a random sample of size 5 from a geometric distribution with p = 1/3.
(a) Find the mgf of Y = X1 + X2 + X3 + X4 + X5.
(b) How is Y distributed?
Questions & Answers
QUESTION:
Problem 6E
Let X1,X2,X3,X4,X5 be a random sample of size 5 from a geometric distribution with p = 1/3.
(a) Find the mgf of Y = X1 + X2 + X3 + X4 + X5.
(b) How is Y distributed?
ANSWER:
Problem 6E
Let be a random sample of size 5 from a geometric distribution with p = 1/3.
(a) Find the mgf of .
(b) How is Y distributed?
Step by Step Solution
Step 1 of 2
The MGF of geometric distribution with parameter is
For given ,
Now, for the random variable ,
The MGF of Y is
So, the MGF function of is