Verify Property 2 of the definition of a probability density function over the given interval. f (x) = 18 -X, [0,6] . . . . . VVIIVUL UNIVIVLI WEIVIV.What is Property 2 of the definition of a probability density function? O A. The area under the graph of f over the interval [a,b] is 1. O B. The area under the graph of f over the interval [a,b] is a. O C. The area under the graph of f over the interval [a,b] is b.OA. a OB. a f ( x ) dx = [F ( x)18 = F(a) - F(b) f ( x) dx = [F(x)]? = F(b) - F(a) b b Oc. b OD. b f ( x ) dx = [F ( x ) 1 2 = F (a ) - F ( b ) [ f( x) dx = [F ( x)12 = F(b)-F(a)' _____ .- Substitute a, b, and f(x) into the left side of the formula from the previous step. Let C = 0 in the expression obtained above and let the resulting expression be F(x). Evaluate the result over [0,6] using the far right side of the formula for the area. (DD) D Simplify. area Is Property 2 of the definition of a probability density function over the given interval now verified? Choose the correct answer below. O A. Property 2 of the definition of a probability density function over the given interval has been verified since the expression in the previous step equals 1. O B. Property 2 of the definition of a probability density function over the given interval has been verified since the expression in the previous step equals a.O C. Property 2 of the definition of a probability density function over the given interval has not been verified because the expression in the previous step does not equal the expected area value. O D. Property 2 of the definition of a probability density function over the given interval has been verified since the expression in the previous step equals b