Q4 (10 marks). Suppose that the joint probability density function for X and Y is given by f(x,y) = Scx²y, 0
Posted: Wed May 11, 2022 9:51 pm
Q4 (10 marks). Suppose that the joint probability density function for X and Y is given by f(x,y) = Scx²y, 0 <ysxs1 elsewhere where c is an unknown constant. 20, (a) (4 marks) Find the value of the unknown constant c such that f(x,y) is a joint probability density function. 7 (b) (2 marks) Are X and Y independent? Justify your answer. (e) (4 marks) Find P(xs)
Posted: Wed May 11, 2022 9:51 pm
Q4 (10 marks). Suppose that the joint probability density function for X and Y is given by f(x,y) = Scx²y, 0 <ysxs1 elsewhere where c is an unknown constant. 20, (a) (4 marks) Find the value of the unknown constant c such that f(x,y) is a joint probability density function. 7 (b) (2 marks) Are X and Y independent? Justify your answer. (e) (4 marks) Find P(xs)