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5. Let X1, ..., Xn be a random sample from Uniform(0, 0) with an unknown endpoint 0 > 0. We want to estimate the parameter 0. (a) Find the method of moments estimator (MME) of 0. (b) Find the MLE 0 of 0. (c) (R) Set the sample size as 25, do a simulation in R to compare these two esti- mators in terms of their bias and variance. Include a side-by-side boxplot that compares their sampling distributions.Let X a normal random variable with mean u and variance o . Consider Z = X - H Then Z is a O Bernoulli random variable O exponential random variable O Binomial random variable O normal random variable O uniform continuous random variable O standard normal random variable O geometric random variableQuestion 6 of 21 5 Points Assume that students arrive at a professor's office following a Poisson distribution with a mean () = 5 per hour. What is the probability that during a 3 hour period we get more than 3 students in the first hour, less than 3 in the second hour and exactly 3 in the last hour? A. None of these multiple choice options are correct B. 1-poisson(3,15,1))"poisson(2,15,1)"poisson(3,15,0) O c. (1-poisson(3,5,1)]"poisson(2,5,1)"poisson(3,5,0)6 OD. (1-poisson(3,5,1)]"poisson(2,5,1)"poisson(3,5,0) OE. (1-poisson(3,5,1))"poisson(2,5,1)"poisson(3,5,0)*3 OF. poisson(9,5,1) Reset Selection