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Unformatted text preview: A denote the event that the number of heads is strictly larger than 450, and B denote the event that the ±rst 550 tosses are tails. Then P ( A j B ) is equal to (a) 0. (b) 1. (c) 0 : 5. (d) 0 : 4. Hint: Is there any outcome in A as well as in B ? Problem 5 Let B 1 ;B 2 ;B 3 ;B 4 be mutually exclusive and exhaustive events. Then, P ( A ) = P ( A j B 1 ) P ( B 1 ) + P ( A j B 2 ) P ( B 2 ) + P ( A j B 3 ) P ( B 3 ) + P ( A j B 4 ) P ( B 4 ) ; for any event A . This statement is (a) True. (b) False....
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- Spring '08