It is a probability density, not a probability In 1805 we won't expect you to be experts at double integration Here's what we will expect You should understand double Given function is a polynomial, so there are no limitations for the values of x This means that the domain is D=RR Range The range is the interval of values which a function takes A quadratic function with a positive coefficient of x^2 takes all values in an interval q;oo) where q is the y coefficient of the function's vertex p=(b)/(2a)=2/2=1 q=f(p)=1^22*13=123=2 The1 0 f(x;y) 2 The total probability is 1 We now express this as a double integral Z d Z b f(x;y)dxdy = 1 c a Note as with the pdf of a single random variable, the joint pdf f(x;y) can take values greater than 1;
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