Let X₁, X2, X3,..., Xn denote a random sample of size n from the population distributed with the following probability density function: d) f(x; 0) = {(0, - ((0+1)xº, if 0 < x < 1 elsewhere Suppose that Ô is a uniform minimum variance unbiased estimator of 0. Show that the variance (0+1)² of ê, Var(0) = n

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A: GivenA and B are mutually exclusiveP(A)=0.35P(B)=0.25

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Q: TRUE or FALSE  For events A and B in a sample space, P(A|B) + P(A|Bc) = P(B).

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Q: Two events A and B are such that P(A / B) = 0.5, P(A ∩ B)= 0.15,P(A or B ) = 0.65.  Find P(B / A).

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Q: A and B are two events. If P(A) =0.28, P(B) =0.30, P(A|B) =0.50 Find the P(A' and B)

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Q: Suppose that events E and F are independent with P(E) = 0.5 and P(F)=0.9 What is P(E and F)

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