Question: Could you help me with these questions please? 3. Let X1, X2, ..., Xn be generated by a Normal distribution where u is known and

Could you help me with these questions please?

Could you help me with these questions please? 3. Let X1, X2,

3. Let X1, X2, ..., Xn be generated by a Normal distribution where u is known and does not have to be estimated by X. We showed in class that 6? =1ET, (X, -X) is biased for o2. Show that o? = = ET-,(X; - #)? is unbiased for o2. 4. Based on the random sample X1 = 6.3, X2 = 1.8, X3 = 14.2, and X4 = 7.6, (a) use the method of maximum likelihood to estimate the parameter @ in the uniform pdf fx (x; 0) = =, Oxs0 (b) Suppose the random sample above represents the two-parameter uniform pdf fx (x; 01, #2) = 1 02 - 01' Find the maximum likelihood estimates for 6, and 02

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