Question 8 The joint probability density of X and Y is f(x, y). Find the marginal density of X at 0.7. Round to 3 decimal places. g(0.7) = f (x, y)= { 2xy 0
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Given: joint pdf of random variable x and y is f(x,y)=2xy :0<x<1, 0<y<2 , y<2x
then to find marginal density value of x at x=0.7 ??
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- Continuous variable X is distributed on the interval [b,c] = [24.4, 64.6] according to the density curve shown below. As indicated by the plot, the distribution of X is symmetric. What is the mean of this distribution equal to? If there is not enough information to answer this question, enter 0 below. Otherwise, enter the value of the mean. f(x) b сSuppose that X, Y are jointly continuous with joint probability density function f (x, y) = ce ² (² 2 x, y = (-∞0, ∞0), for some constant c. (a) Find the value of the constant c. (b) Find the marginal density functions of X and Y.62
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