Question: Need help answering this practice problem. 5. A coin mintzing machine produces coins whose probability of heads is a random variable P with PDF (20.5)2

Need help answering this practice problem.

5. A coin mintzing machine produces coins whose probability of heads is a random variable P with PDF (20.5)2 fp(p)={Ce 2 ifOSpSl, 0 otherwise A coin produced by this machine is selected and tossed repeatedly, with successive tosses assumed independent. (a) Determine the value of the constant C. (b) Find the probability that a coin toss results in heads. (c) Given that a coin toss resulted in heads, find the conditional PDF of P. (d) Given that the rst coin toss resulted in heads, nd the conditional probability of heads on the next toss

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