Determine whether the following function is a probability density function and justify youranswer.f(x)=118x,[6,13]Select the correct choice below and, if necessary, fill in the answer boxes within your choice.A. The function f(x)=118x over 6,13is not a probability density function since itisanonnegative function with at most finitely many discontinuities on[6,13], and 613dx=B. The function f(x)=118x over 6,13is a probability density function since itisanonnegative function with at most finitely many discontinuities on[6,13], and 613dx=C. The function f(x)=118x over 6,13is not a probability density function since f(x) takeson negative values.D. The function f(x)=118x over 6,13is not a probability density function since f(x) hasinfinitely many discontinuities.E. Both C and D are true.