Let X~Bin(3, 0.2) and Y~Po(2), where X and Y are independent. a. Find the probability generating function

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Let X~Bin(3, 0.2) and Y~Po(2), where X and Y are independent.

a. Find the probability generating function for X + Y.

b. Find the value of E(X + Y).

c. Find the value of G''_x+y(t). Write your answer in the form:

d. Find the value of Var(X + y).

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Cambridge International AS & A Level Further Mathematics Coursebook

ISBN: 9781108403375

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Authors: Lee Mckelvey, Martin Crozier

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Question Posted: Oct 06, 2021 12:46 AM

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Let X~Bin(3, 0.2) and Y~Po(2), where X and Y are independent. a. Find the probability generating function

Question:

2e2 (t+4)(at? + bt + c) 125 e2

Step by Step Answer:

a The probability generating function PGF for X Y is the product of their individual PGFs since they ...View the full answer

Cambridge International AS & A Level Further Mathematics Coursebook

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