Question: You are given 2 coins with unknown parameters for landing on heads (BA, 93). To ascertain these parameters, you choose a coin at random (with

You are given 2 coins with unknown parameters for landing on heads (BA, 93). To ascertain these parameters, you choose a coin at random (with equal probability) and perform 10 independent coin tosses with that selected coin. You repeat this process 8 times and record the following results: -m_ n HTTTHTHTTT - A HTHHHHTTHH II TTHHTTHTTT HTHTHHTTHT THHTTHHHHH B HTHTTHHTTH A) Given the observed data, calculate the parameters. Justify your approach. Now imagine a scenario where you do not know the identity of the coin used in each set of coin ips. Because the data is now incomplete, we must estimate the probability distribution for the coins for each ip to estimate the parameters. We must now turn to expectation maximization. B) Assume an initial guess for the coins' parameters to be the following: 9A = 0.6 913 = 0.4 Using these initial parameters, calculate the probability of each coin being used for each set of coin ips

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