Let Y1 be the number of success in n = 10 independent Bernoulli trials with probability of success θ. Suppose the four possible values for θ are Ω = {0.2, 0.4, 0.6, 0.8}. We observe Y1 = 7. (a) Find the posterior distribution for θ if we use a uniform prior distribution (i.e. a vague, non-informative prior). (b) Find the posterior distribuiton for θ if the prior distribution is P(θ = 0.2) = 0.1, P(θ = 0.4) = 0.2, P(θ = 0.6) = 0.3, P(θ = 0.8) = 0.4. HINT: You may wish to use R by installing the Bolstad package and utilizing the binodp function. Solution plz repost the question.

1. Let Y1 be the number of success in n = 10 independent Bernoulli trials with probability of
success θ. Suppose the four possible values for θ are Ω = {0.2, 0.4, 0.6, 0.8}. We observe Y1 =
7.
(a) Find the posterior distribution for θ if we use a uniform prior distribution (i.e. a vague,
non-informative prior).
(b) Find the posterior distribuiton for θ if the prior distribution is P(θ = 0.2) = 0.1, P(θ = 0.4) =
0.2, P(θ = 0.6) = 0.3, P(θ = 0.8) = 0.4.
HINT: You may wish to use R by installing the Bolstad package and utilizing the binodp
function.
Solution
plz repost the question