Question: Let R be an exponential random variable with expected value l/. If R = r, then over an interval of length T, the number of

Let R be an exponential random variable with expected value l/µ. If R = r, then over an interval of length T, the number of phone calls N that arrive at a telephone switch has a Poisson PMF with expected value rT.
(a) Find the MMSE estimate of R given N.
(b) Find the MAP estimate of R given N.
(c) Find the ML estimate of R given N

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