A dart is thrown at a number line in such a way that it

Last updated: 8/7/2022

A dart is thrown at a number line in such a way that it always lands in the interval [0,10]. Let x represent the number that the dart hits. Suppose that the probability density function for x is given by the following function. f(x)= -x, for 0 ≤x≤ 10 1 50 Find P(8≤x≤ 9), the probability that the dart lands in [8,9]. How is the probability that the dart lands in [8,9] found? 1 A. Evaluate the expression 50x over the limits 8 and 9, then add. 1 B. Integrate x twice, then evaluate the integral over the limits 8 and 9. 50 1 50 -x over the limits 8 and 9, then subtract. D. Integrate C. Evaluate the expression 1 50 -x, then evaluate the integral over the limits 8 and 9. P(8≤x≤9)= (Type an integer or a simplified fraction.)