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Bayesian Statistic Help Consider two basketball players at practice. Alex plans to take nA = 10 shots to see how many she will make, and Brad will take keep taking shots until he makes rB = 3.
(a) Letting XA denote the number of shots Alex makes, write out the likelihood function for 6A, the probability Alex makes a shot.
(b) Alex makes xA = 3 shots. Assuming a uniform prior, what is the posterior distribution of GA?
(c) Letting XB denote the number of misses Brad makes until he achieves his 3rd basket, write out the likelihood function for BB, the probability Brad makes a shot.
(d) Brad misses xB = 7 times before his third make. Assuming a uniform prior, what is the posterior distribution of 9A?
(e) Compare the two posterior distributions. Is it reasonable that they are the same, even though the distributions of XA and X3 are from different families?
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