ISYE 6644 UPDATED Questions and CORRECT Answers
(8.3) Find the sample variance of -3, -2, -1, 0, 1, 2, 3 - 14/3 (or 4.666). If sample is entire population than variance is 4. (8.1) M/M/1 queue - queue length having a single server. (8.3) If the expected value of your estimator equals the parameter that you're trying to estimate, then your estimator is unbiased. True of False - True. This is the definition of unbiasedness (8.3) If X1, X2, ..., Xn are i.i.d. with mean mu, then the sample mean X-bar is unbiased for mu. True or False - True. (8.4) What is the MSE (Mean Squared Error) of an estimator? - Bias^2 + Variance (8.3) What is the expected value of the mean of a Pois(λ) random variable? - λ is the mean and the variance
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