II. (50%)
1. (15%) Suppose X, Y, and Z are independent Poisson random variables, each with mean 1. Find a. P(X+Y+Z=4) b. $E[(X+Y)^2]$ c. $P\left(X=1 \mid \frac{X+Y}{2} = 2\right)$
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阿摩線上測驗
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II. (50%)
1. (15%) Suppose X, Y, and Z are independent Poisson random variables, each with mean 1. Find a. P(X+Y+Z=4) b. $E[(X+Y)^2]$ c. $P\left(X=1 \mid \frac{X+Y}{2} = 2\right)$