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Suppose you have three coins in a sack: two fair coins, and one that is weighted to come up heads 75%% of the time. Draw
Suppose you have three coins in a sack: two fair coins, and one that is weighted to come up heads 75%% of the time. Draw one at random. Let / be the probability of a head on a single toss. The problem setup gives you your prior distribution for Q. Now, suppose you toss the (randomly selected) coin 15 times, and you get & heads. Find the posterior probability that you picked the weighted coin. That is, If x is the number of heads in 15 tosses, find P(0 = 0.75|x = 8) Assign your answer to the variable ans Do NOT round your
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