Question

If f(x,y) = c(x2+2y) for x= 0,1,2 and y= 1,2,3,4 then find

a. Value of c

b. P(x=2, y=3)

c. P(x<=1, y>2)​

Answer 1

Answer:

Explanation:

Let X and Y be jointly continuous random variables with joint PDF fX,Y(x,y)={cx+1x,y≥0 ... Find the constant c. Find the marginal PDFs fX(x) and fY(y). Find P(Y<2X2). ... random variables with joint PDF fX,Y(x,y)={6e−(2x+3y)x,y≥00otherwise ... Let X be a continuous random variable with PDF fX(x)={2x0≤x≤10otherwise.