The joint probability density of X and Y is f(x, y). Find the marginal density of Y at 1.7. Round to 3 decimal places. h(1.7) = 2 ху 0 <х< 1,0 <у<2,у < 2х f(x, y)= elsewhere
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- he length of time, in minutes, for an airplane to obtain clearance for takeoff at a certain airport is a random variable Y = 3X-2, where X has the density function. Find the mean and variance of the random variable Y.While taking a walk along the road where you live, you accidentally drop your glove, but you don't know where. The probability density p(x) for having dropped the glove a kilometers from home (along the road) is -4x p(x) = 4e for x > 0 a. What is the probability that you dropped it within 1 kilometer of home? b. At what distance y from home is the probability that you dropped it within y km of home equal to 0.95? kmvariable X distributed A continous random between has a Probability zero elsewhere. if variable X os random at two Values, X=0 and X 2, density function fo)= 9x²+bx, and the mean of the random 1.25 1) Show thal the values of a and b -3 and a are 16 3. respectively 4 (i) find the mode of x Ce) Find the median Value of
- The time T a business is closed after a fire has the cumulative distribution function (부)- 3 1 1 F7(t) = t>0 t+1 otherwise = VT. The cost to the insurer is X = Determine the density of X for x > 0.Find the average value of f over the given rectangle. f(x,y) = 4x²y, R has vertices (-5,0), (-5,4), (5,4), (5,0). fave = XLet 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 Y
