a. Let X, X2, ., XN be random measurements of uniformly distributed random variable X in the interval [0,0), where e is a constant. Is the sample mean estimator of X unbiased? c. Let the pattern of sunny and rainy days is a Markov chain. Every sunny day is followed by another sunny day with probability 0.8. Every rainy day is followed by another rainy day with probability 0.6. i. Draw the state diagram and write the transition probability matrix. If today is a sunny day, what is the chance of rain the day after tomorrow? ii.