You are given a coin whose probability of getting a head is a random variable ! The aprior pdf of ! is given to be filip ) = | 6, 1/ 3...

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You are given a coin whose probability of getting a 'head' is a random variable P.

6. You are given a coin whose probability of getting a " head " is a random variable ! . The aprior pdf of ! isgiven to befilip ) =| 6, 1/ 3 5 0 = 1/ 2O. else .You wish to determine an improved estimate of the pulf of' I and toss the coin 5 times . In all 5 instances , theresult is a tail . Let A denote this event , i.e . . the event that the result of the toss in all 5 instances , is a tail .Determine the conditional pdf fe` loj.