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Statistics

1. Suppose X has a Poisson distribution such that P.X D k/D P.X D k C 1/ for some fixed integer k. Find the mean of X .

2. (A P-Value Calculation). It is estimated that the risk of going into a coma with surgical anesthesia is 6 in 100,000. In the movie Coma, two patients out of ten go into a coma during surgery. Calculate the p-value for these data.

3. * (Couples Wishing Large families). Suppose a couple want to have children until they have two children of each sex. What are the mean and the variance of the total number of children they will have?

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Statistics and Probability, Statistics

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