**Unformatted text preview: **X 1 being binomial( n = 3 ,p = 1 / 3) and X 2 being binomial( n = 4 ,p = 1 / 2). Compute P ( X 1 = X 2 ). 3. Textbook Page 161, 3.2.12 4. Suppose the distribution of X 2 condition on X 1 = x 1 is N ( x 1 ,x 2 1 ) and that the marginal distribution of X 1 is U (0 , 1). Find the mean and variance of X 2 . 5. Suppose X 1 is distributed as N ( μ,σ 2 ) and conditionally on X 1 = x 1 , X 2 is distributed as N ( x 1 ,σ 2 ). Find the marginal distribution of X 2 . 1...

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- Fall '08
- Staff
- Probability theory, X1, X2 given X1