Please help me solve the following problem. Thank you

Problem T Suppose that Y is binomially distributed I" ~ Bin{n : it?) where H is unknown. Furthermore, assume that H E B : {H.[LIILL - . ., {1,9, 1.0}, and that a prion' we view each of these I 1 possibilities as equally likely, i.e. l P{H} : H' for each I? E B. {a} Using the Bayes' rule, write down a formula for the posterior distribution PU? | y} in terms of 49,-, and simplify as much as possible. {b} For J; = CI, make a plot for P113 | y} for each 3 E {9 : {.,. I, . . . ,l, Ill}. In other words, make a plot with the horizontal axis representing the l I values of 6' and the vertical axis representing the corresponding values of PW | y). {c} Repeat {b} for each y E {1,2, 3,4,5], so in the end you have six plots {including the one in (h)). Describe what you see in your plots and discuss whether or not they make sense