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- Let X ~ U[0,1] and Y = -βln(1-X). What is the distribution of Y? Justify.The time to wait between each phonecall a person recives is random given f(t) = 3e-3t for t>=0. Let T1 and T2 be two independent waiting times for this distribution. Find expected time between each call and variance. (E(T) and V(T)) Find the probability for both T1 and T2 to be greater than one.Let X1, X2, X3 be a random sample from a distribution with p.d.f. f(x; 8) = e-(-0) I(8,00) (). Here we use the indicator function of set A defined by I4(æ) = 1, when a E A, zero, elsewhere. Let Y be the first order statistic and let Y be the third order statistic. Then, Select one: O a. Y is sufficient and Y is sufficient. O b. Y is sufficient and Y is not sufficient. O c. Y is not sufficient and Y, is not sufficient. O d. Y, is not sufficient and Y, is sufficient.
- let Y=5X+10 and X be normally distributed with a mean 10 and varience 25. find P(Y<54).3 a. Let X have a Poisson distribution with a mean of 3. Define Y = (X-3) ^2 , specify pdf from Y.b. Let Y have a Poisson distribution with a mean of 5. Define Y=Z+X where Z and X are independent, where X is a random variable at point a, determine the distribution and pdf of Z.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.
- If the random variable X follows the uniform distribution U= (0,1) What is the distribution of the random variable Y= -2lnX. Show its limits.Solve 2nd part only plz solve it now in 20 min plz..4. Use the t-distribution to find t. values such that following statements are true. a. = 0.95, where df= 16 b. = 0.90, where df= 16 с. = 0.99, where df= 12 d.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.suppose you and a friend each take different random samples of data pairs (x,y) from the same popuation. Assumethe samples are the same size. Based on your samples, you compute r=0.83. Based on her sample, your friend computes r=0.79. Is your friends value for r wrong?Suppose that Y is a uniform continuous random variable on the interval (1,11). Calculate the expected value of the random variable (Y− 1)². Use one decimal place accuracy.SEE MORE QUESTIONS
