Question: Say A is a standard normal and B is a random variable that can take values 1 and -1 with the same probability. If I

Say A is a standard normal and B is a random variable that can take values 1 and -1 with the same probability. If I say C = A+B and I fix B for the value 1, I can say C = A+1, which gives me the conditional PDF of C given B=1. What then, is the conditional probability of B=1, given that C was observed to be c

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