Question: Let Ui be IID random variables. Let U = 1 n n i=1 Ui. True or false, and explain: (a) E(Ui) is the same for

Let Ui be IID random variables. Let U = 1 n

n i=1 Ui. True or false, and explain:

(a) E(Ui) is the same for all i.

(b) var(Ui) is the same for all i.

(c) E(Ui) = U.

(d) var(Ui) = 1 n

n i=1 (Ui āˆ’ U )2.

(e) var(Ui) = 1 nāˆ’1 n

i=1 (Ui āˆ’ U )2.

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