Q1. MLE for selection of parameters from a finite set of values

Suppose we have observed the following sequence of heads and tails in a coin ipping experiment: T, T, H, T, H, H, H, H,T, H If 71' is the probability of observing T, and if we can only use one of the values in the following set [0.1, 0.5, 0.9} Then, use the MLE approach to determine the value of 7r. You can use the text entry box or you can write down your answer on a paper and upload the image. Let us assume that we have the following observations from a Poisson distribution: :81, $2, ..., (En The PMF of the distribution is as follows: Using MLE, estimate the parameter A. You can either use the text entry box, or solve the problem on a paper an upload the image. Let us assume that we have the following observations from a uniform distribution, U01, 5) : .3131, $2, "'5 93m The PDF of the distribution is as follows: L agmgb 0 , otherwise Using MLE, estimate the parameters a, and b. You can either use the text entry box, or solve the problem on a paper an upload the image