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- Exercise 10. Suppose that A ~ N(1,4), B ~ N(-2,9), and assume that A and B are independent. (b) What is the distribution of A – B? Make sure you give the numerical values of E(A – B) and var(A – B). (c) Compute P(A > B).Suppose that X has the uniform distribution on the interval [0, 1]. Compute the variance of X.I need help with parts “c”, “d, and “e” thanks.
- Let X ~ U[0,1] and Y = -βln(1-X). What is the distribution of Y? Justify.Let Y1, Y2, Y3 be independent binomial random variables with probability of success, p=0.4, and number of trials, n=8. Using the method of moment-generating functions find the probability distribution of U=Y,, Y2, Y3. Compute the mean and variance of U.The number of clients a store has during a week is Poisson distributed with - 25. The amount of money spent by each client follows a random = el,000t+250t2. Assuming the mean A variable with moment generating function o(t) independence between the number of clients, and the amount of money spent by each client. Find the mean and variance of the amount of money received by the store every week.
- This was what WAS given please helppppIf the random variable X follows the uniform distribution U= (0,1) What is the distribution of the random variable Y= -2lnX. Show its limits.3. Let X1,.., Xn be a random sample from a uniform distribution on the interval [a, b). In other words, X U(a, b). Obtain method of moments estimators for a and b.
- Suppose that the random variable X has the continuous uniform distribution on the interval [0,1]. A random sample of n = 36 is selected from this population. Find the probability that the sample mean is greater than 0.4 but less than 0.8.A random variable x follows continuous uniform distribution on the interval [18,38]. Find the variance V ar (X). Answer should be with 2 decimal places.Page 263, 4.4.5.