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).
Transcribed Image Text:
2e2 (t+4)(at? + bt + c) 125 e2
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a The probability generating function PGF for X Y is the product of their individual PGFs since they ...View the full answer
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Related Book For
Cambridge International AS & A Level Further Mathematics Coursebook
ISBN: 9781108403375
1st Edition
Authors: Lee Mckelvey, Martin Crozier
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