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The number of contaminated samples in week () is described by a random variable Xi that is assumed to follow a Poisson distribution with probability function fxi(ri) = Pr(Xi = Ti) = (I;) ! , Ti = 0, 1, 2...and> > 0 Using a Bayesian analysis and based on a target that the mean number of contaminated samples should remain 0, a > 0, 3>0 r(a) 1. The most probably value for A is 8. If a=3, what value of $ is required to give this? 2. What is the prior probability that the mean number of contaminated samples is