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a researcher takes a sample from a population and computes a statistic for the sample, which of the following statements is correct? Please explain

a. sample stat. overestimates the corresponding population parameter, then stat. is biased

b. sample stat. underestimates the corresponding population parameter, then stat. is biased

c. sample stat. is equal to the corresponding population parameter, then stat. is unbiased

d. none of the above

Problem 6: Using the Cayley Hamilton Theorem, compute the state transition matrix ed for the characteristic matrix, 0 0 A=0 -4 3 -1 -1 -2(1) Is the Markov chain whose transition matrix whose transition matrix is 0 regular? (Yes or No) yes (2) Is the Markov chain whose transition matrix whose transition matrix is 0 0.4 0.6 0 1 0 0.4 0.6 0 regular? (Yes or No) yes (3) is the Markov chain whose transition matrix whose transition matrix is regular? (Yes or No) no (4) Is the Markov chain whose transition matrix whose transition matrix is 0 1 0 0.6 0.4 0 regular? (Yes or No) yes (5) Is the Markov chain whose transition matrix whose transition matrix is regular? (res or No) na3. An iniportent distribution in the multivariate setting is the multivariate normal distribution. Let K be a random vector in El\". That is with X1, X2, . . . , X1, random variables. If X has a multivariate normal distribution, then its joint pdf is given by 1 1 _ ax):(Wwetmme 2e \")1": lacm} with parameters a, a. vector in R\