The number of particles emitted by a radioactive source during a ten second interval has the Poisson(µ) distribution. The radioactive source is observed over twelve non-overlapping intervals of ten seconds each. The number of particles emitted during each interval are: 4, 4, 4, 4, 4, 5, 7, 1, 6, 6, 3, 3. Suppose a prior uniform distribution is used for u. Find the posterior distribution for u. Select one: a. Gamma(12, 52) b. Gamma(53, 12) c. Gamma(52, 13) d. Gamma(13, 52)

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