Show that f(x) = - (1+ x) " is a probability density function on [0, co); then find the indicated probabilities Choose the procedure below that you would use to show that f(x) is a probability density function on [0, co). O A. Show that all values of f(x) in the interval are positive or zero, and that the integral of f(x) from - co to co equals 0. O B. Show that all values of f(x) in the interval are positive or zero, and that the integral of f(x) from 0 to co equals 0. O C. Show that all values of f(x) in the interval are positive or zero, and that the integral of f(x) from - co to co equals 1. O D. Show that all values of f(x) in the interval are positive or zero, and that the integral of f(x) from 0 to co equals 1. Perform the procedure to show that f(x) is a probability density function on [0, co). Is f(x) a probability density function? O A. No OB. Yes Find P(0 S x = 4). 10 P(0 Sx$4) = (Round to four decimal places as needed.) Find P(2 5x$7). P(25x57) = (Round to four decimal places as needed.) Find P(x 2 8) P(x28)= (Round to four decimal places as needed.) Re