XXX 1 X 2,..., X Let XX n f(x;0) = be a random sample from a distribution with density function Ox -¹, 0
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- What are the expected value and the standard deviation of the area of the circle whose radius is a random variable X with density function f(x) = 1 for 0 < x < 1 and f(x) = 0 otherwise ?4. The monthly revenue (in millions) of a local gaming company is represented by a continuous random variable X having the probability density f(x) = (1 - (x-1)²), 0 < x < 2, 0, elsewhere Find the mean and variance of X.A continuous random variable has density function (Зx2 for 0 0. The ratio of the mode of this distribution to the median is:
- 9. The random variable X has probability density function, f(x) where k 1Let X and Y be independent random variables. X is N(1,9) and Y is uniform on the interval {--1, 1]. Lat Write down the joint density for (X,Y) o Give the mean and variance of Y c) Give the median of X I dY Give the correlation coefficient p of X and YLet the random variable X have'the marginal density 1 f, (x)= 1, 1Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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