5. (a) Suppose xi, 32,.. .,^n are the numbers of independent requests arriving at a web server during each of n successive minutes. Under the assumption that these numbers are independent samples from a Poisson distribution with unknown rate A per minute, what is the maximum likelihood estimator for ? (If you do Exercises 4 and 5a correctly, you should see a very natural relationship between the estimators.) (b) Is your estimator unbiased? Justify your answer. 5. (a) Suppose xi, 32,.. .,^n are the numbers of independent requests arriving at a web server during each of n successive minutes. Under the assumption that these numbers are independent samples from a Poisson distribution with unknown rate A per minute, what is the maximum likelihood estimator for ? (If you do Exercises 4 and 5a correctly, you should see a very natural relationship between the estimators.) (b) Is your estimator unbiased? Justify your