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PSTAT 109: Quiz 3 Winter 2014

PSTAT 109: Quiz 3 Winter 2014


PSTAT 109: Quiz 3

Winter 2014

Instructions: Please show all work in an organized fashion for full credit.

Problem 1. Let = f1; 2; 3g, and consider the family of subsets A of :

A = f;;; f1; 2g; f2; 3g; f2g; f1; 3gg:

Explain why A is not a sigma-algebra.

Problem 2. If A and B are subsets of sample space , show that

P(A B) P(A) P(A =

(

1; if X = 1;

0; if X 6= 1:

Write the probability distribution of Y in the form of a table, and interpret the meaning

of this random variable.

f. Calculate E(Y ) and V ar(Y ).

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