PLEASE READ THE QUESTION CAREFULLY.

I don't want answer with the results: 1/2 and 1/3 since there are no specific numbers given here. The coin is flipped n times

This is my third time positing this question so please don't post others answer that have the results of 1/2 and 1/3 since this is completely different problem.

i will upvote if your answer is helpful.

please help me out

thank you

6. Consider an urn containing a large number of coins, and suppose that each of the coins has some probability p of turning up heads when it is flipped. However, this value of p varies from coin to coin. Suppose that the composition of the urn is such that if a coin is selected at random from it, then the p-value of the coin can be regarded as being the value of a random variable that is uniformly distributed over [0, 1]. (a) [5 pts] Suppose the coin is flipped n times. Let X denote the number of heads that occur. Find P{X = a} for a Rx. (b) [5 pts] Suppose the coin is flipped until it lands heads up. Let N denote the number of flips required. Find P{N > a} for a E Rn. 6. Consider an urn containing a large number of coins, and suppose that each of the coins has some probability p of turning up heads when it is flipped. However, this value of p varies from coin to coin. Suppose that the composition of the urn is such that if a coin is selected at random from it, then the p-value of the coin can be regarded as being the value of a random variable that is uniformly distributed over [0, 1]. (a) [5 pts] Suppose the coin is flipped n times. Let X denote the number of heads that occur. Find P{X = a} for a Rx. (b) [5 pts] Suppose the coin is flipped until it lands heads up. Let N denote the number of flips required. Find P{N > a} for a E Rn