6. A random sample X1, ..., Xn is taken from a Poisson distribution with mean 1, 1 > 0. a) Find the maximum likelihood estimator of 1. b) Let X be the number of flaws per 100 feet of a used computer tape. Suppose it follows a Poisson distribution with mean 2. If 42 observations of X yielded 4 zeros, 8 ones, 12 twos, 9 threes, 6 fours, 1 five, and 2 six's, find the value of the maximum likelihood estimate and the value of the method of moment estimate. c) Is the maximum likelihood estimator an unbiased estimator of 1? Explain