The CLT tells us that our estimate of the spread ˆd has normal distribution with expected value d and standard deviation σ calculated in problem 6. Use the formulas we showed for the posterior...

The CLT tells us that our estimate of the spread ˆd has normal distribution with expected value d and standard deviation σ calculated in problem 6. Use the formulas we showed for the posterior distribution to calculate the expected value of the posterior distribution if we set µ = 0 and τ = 0.01.

Let’s assume that there is in fact a genetic component to SIDS and the the probability of Pr(second case of SIDS | first case of SIDS) = 1/100, is much higher than 1 in 8,500. What is the probability of both of her sons dying of SIDS?