5 8 For The Given Sets And Sample Spaces Show That The Assign Ment Of Probabilities Is Mathematically Consistent And 1 (16.43 KiB) Viewed 659 times
5-8 . For the given sets and sample spaces, show that the assign- ment of probabilities is mathematically consistent and use them to compute the requested probability.
5. The sample space is S={0, 1, 2, 3, 4). Suppose that Pr({0})=0.2 Pr({1})=0.3 Pr({2})=0.4 Pr({3}) = 0.1 Pr({4})=0.0. Find Pr(A) and Pr(A) if A={0, 1, 2) and Pr(B) if B={0, 2, 4). Is Pr(AUB)=Pr(A) + Pr(B)? Why or why not? 6. The sample space is S={0, 1, 2, 3, 4). Suppose that Pr({0}) = 0.1 Pr({1})=0.3 Pr({2)) = 0.4 Pr({3)) = 0.1 Pr({4}) = 0.1. Find Pr(A) and Pr(A) if A={0, 2) and Pr(B) if B={3, 4). Is Pr(AUB) = Pr(A) + Pr(B)? Why or why not? 7. The sample space is S={0, 1, 2, 3, 4). Suppose that Pr({0}) = 0.2, Pr({1})=0.1, Pr({2})=0.4, and Pr({3})=0.1. Find Pr(A) and Pr(A) if A={4) and Pr(B) if B={3,4}.
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