Let f : R2 > R3 be given by x, 3;) = (a:2 -l- 312, y, a: + 3;). Let B = f1([l,4] X [4,
Let f : R2 > R3 be given by x, 3;) = (a:2 -l- 312, y, a: + 3;). Let B = f1([l,4] X [4, 00) X (2, 2J2 Suppose (X, Y] is a random variable taking values in B, with pfobability density function where C' is a normalising constant. With a precision of up to 3 decimal places, e.g. "4.598" or "6.667", calculate 0 the value of E00: ' the value of E(X?): - the value of E (lXY|(X2 + yup)
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