X f(x, y) 2 4 1 0.10 0.15 y 0.20 0.30 3 5 0.10 0.15 a. Determine the marginal distribution g(x), x = 2, 4. b. Determine the marginal distribution h(y), y = 1, 3, 5
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- c. Calculate the marginal p.d.f.’s fx(x) and fy(y). Please remember to specify the interval for x for fx(x) and the interval for y for fy(y):d. Are X and Y independent? Why or why not?e. Calculate Pr (X ≤ 0.25|Y ≤ 0.5)One can fit a curve y=f(x) to data points(x1,y1), (x2,y2),.....,(xN,yN) by minimizing the sum of the squared errors:Find the average value over the interval [0, 6] for y = x^2−2x+1
- The joint pdf of X and Y is given by: f(X,Y)(x,y) = (xe-x) / (1+y)2 , such that x,y > 0. Find the marginal pdf of X and of Y.What is the average value of y for the part of the curve of y=3x-x^2Suppose the cost (in dollars) of manufacturing q units is given by C(q)=3q^2+38q+147 Use marginal analysis to estimate the cost of producing the 8th unit. 83 89 86 80 none of the above