Course Solutions Uncategorized (Solved) : 2 15 Marks Shooter Practicing Shooting Clay Pigeon Targets Attempts N 20 Shots Succeeds X Q31894042 . . . .

(Solved) : 2 15 Marks Shooter Practicing Shooting Clay Pigeon Targets Attempts N 20 Shots Succeeds X Q31894042 . . . .

 

2. [15 marks] A shooter is practicing shooting clay pigeon targets. She attempts N = 20 shots and succeeds x = 14 times. Let θ be the success probability that is thought to apply to each attempt. (i) [2 marks Write down the expression for the likelihood function p(z|θ), with the data substituted in (ii) [4 marks] Using a uniform prior for θ, find an expression for the posterior distri- bution p(0x) and write the result in notation (iii) [3 marks] Explain why the (posterior predictive) probability for success on the next trial is equal to the posterior mean 

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