A continuous random variable has a pdf f(x) = < x < 2 2 Ootherwise
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a) Find the
b) Find the variance
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- The expected value of a random variable X that is denoted by uis called its: a. median. O b. variance. mean. O d. mode.With unit variance; the random variable Y is related to the random variable X by a linear relationship. A. Calculate the minimum error power when X and Y are fully correlated. B. Calculate the minimum error power when X and Y are not related at all.dont answer by pen paper
- Find the variance of x or the number of cups of coffee. (Do not round intermediate steps but round your final answer to 4 decimal places)Consider the following probability distribution function of X and Y: 1 2 0.35 0.05 Y 1 0.15 0.45 Find the variance of X and the variance of Y.Let A be a random variable corresponding to the sum of the outcomes of two independent rolls of a fair 6-sided die (numbered from 1 to 6). Determine the variance of A.
- Sample A Sample B s2 22 25 n 10 8 We want to test the hypothesis that population B has a smaller variance than population A.A snack company makes packages of grapes and honeydew slices. The weight of an individual package of grapes, G, is approximately Normally distributed with a mean of 3.25 ounces and a standard deviation of 0.91 ounces. The weight of an individual package of honeydew slices, H, is approximately Normally distributed with a mean of 4.51 ounces and a standard deviation of 2.02 ounces. Assume G and H are independent random variables. Let D = G – H. What is the probability that a randomly selected package of grapes weighs more than a randomly selected package of honeydew slices? 0.127 0.230 0.284 0.334Consider the model (1-B)(1-0.2B)X_t = (1-0.5B)W_t find the forecasts for one, two and three steps ahead and calculate the variance of the one, two, and three steps ahead forecast errors