Let X and Y be continuous random variables that are uniformly distributed on the region defined by x20, y20, and x+4y≤20. In other words, there is a constant & such that the joint PDF is given by f(x,y)=k for points within this region, and the joint PDF is equal to 0 outside of this region. Find E[X] and E[Y]. Select two answers on this problem. fx (x)= = £fx (x)= 1 1 10 200 1 1 == fx (x): fr (y) 10 10 | £r (v)=²-23 » (y): y 5 25 1 ƒ (») = ²/3 - 12/²³ fr y 5 25 22 »)=²-3x 5 5 x 1 1 20 400 y x ·x

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