Unformatted text preview: D )? What is the relationship between Pr( D ) and Pr( A ), Pr( B ), Pr( C )? (4) If I tell you that X > 4, what is the probability that X = 6? (5) Let Z = X + Y , what is the probability distribution of Z ? That is, what is Pr( Z = k ), where k goes through all the possible values that Z can take? Problem 3: Suppose we draw two random numbers uniformly and independently from [0, 1]. Let X and Y be the two numbers. (1) What is Pr( . 1 ≤ X ≤ . 4)? In general, for A ⊂ [0 , 1], what is Pr( X ∈ A )? (2) What is Pr( X + Y > 1 . 5)? (3) Let A be X < . 3, and let B be Y > . 6, what is Pr( A ∩ B )? What is the relationship between Pr( A ∩ B ) and Pr( A ), Pr( B )? (4) What is Pr( X 2 + Y 2 > 1)? (5) Suppose I tell you X + Y > 1, what is the probability that X > 1 / 2? 1...
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 Winter '10
 CRISTOU
 Conditional Probability, Probability, Probability theory, Probability space, zi

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