Unformatted text preview: Independence Please hand in: problems 20, 23, and 26 in Section 1.7 of EPFA . Please also look at problems 19, 31, 33, and 34. Distributions, Expectation, and Variance Please hand in: problems 38, 54, and 55 in Section 1.7 of EPFA . Please also look at problems 35 and 39. Extra Problems 1. Set subtraction A-B is deﬁned by A-B = A ∩ B c . Prove that if B ⊂ A , then A = B ∪ ( A-B ) and P ( A-B ) = P ( A )-P ( B ) . Remark: A good way to prove equality of sets C = D is to show C ⊂ D and D ⊂ C . And to show C ⊂ D , one might start with x ∈ C and show x ∈ D as well. 2. Show that P ( A ∩ B ) ≥ P ( A ) + P ( B )-1 ....
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- Math, Extensional definition, EPFA