Each of 165 newly manufactured items is examined and the number of scratches per item is recorded (the items are supposed to be free of scratches), yielding the following data: let x = the number of scratches on a randomly chosen item, and assume that x has a poisson distribution with parameter ? .number ofscratchesper item 0 1 2 3 4 5 6 7observedfrequency 25 34 37 29 19 8 8 5(a) find an unbiased estimator of ? and compute the estimate for the data. [hint: e(x) = ? for x poisson, soe(x) = ? ](round your answer to two decimal ) what is the standard deviation (standard error) of your estimator? compute the estimated standard error. [hint: ? x2 = ? for x poisson.] (round your answer to three decimal places.)