State whether each of the following statements is True or False. For each part,

Question

State whether each of the following statements is True or False. For each part, only your answer, which should be one of True or False, will be graded. Explanations will not be read. ) For any events A and B such that P(A) >0 and P(B)>0 P(BIA)P(A b) If events A and B are independent, then P(AUB) P(A) P(B) c) If X is uniform random variable defined on the interval 12, 101, i.e. its pdfs f(r) 1/8 forz E [2, 10], then El ]-. d) If P(A) = 0.8 and P(B) = 0.6, then P(An BC) 04. e) For any events A and B, P(AnpC)-1-P(AU). f) If COV(X, Y) = 0, then X and Y are independent random variables. g) Let F(r) be the cumulative distribution function for a random variable X. Then for any a

Explanation / Answer

Since it is explicitly given that explanation is not required, I am just giving the answer whether it is true or false.

(a) True

(b) False

(c) True

(d) True

(e) True

(f) True

(g) True

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