13) (3 points each) Suppose X and Y are independent random variables each having expected value 5 and standard deviation 3. Calculate d) If you were told that Cov(X,Y) = 4, and that X and Y are not independent, what would Var(X-Y) be?

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Q6. In the following diagram: Họ: µ = 4 ; H1: µ= 1. f(X) Ho Xp Rejection region Non-rejection region Examine the probabilities represented by the regions, a,b and c. Identify the incorrect statement: A. a = Pr(Type I error 'AND’ Not-Type II error). B. a +b = Pr(Type I error). С.с 3D Pr(Туpe Il error). D. a + b + c = Pr(Type I error 'OR’ Type II error) %3D A. A В. В С. С O D. D

We have a random variable X1 for population 1 with a mean value of 52 and standard deviation of 3. we have a random variable X2 for population 2 with a mean value of 50 and population standard deviation of 4. we obtain a random sample of 625 elements independently for both populations. what is the probability that the difference in the sample averages X1-X2 is at least 2.3?

For a uniform random variable U∼U(5,26)U∼U(5,26), find the probability P(U>14)P(U>14): P(U>14)=P(U>14)= (Round the answer to 4 decimal places)