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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
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) = 1 50 x, for 0 x 10 Find P(8x9), the probability that the dart lands in [8,9]. How is the probability that the dart lands in [8,9] found? 1 OA. Evaluate the expression 5x over the limits 8 and 9, then add. OB. Integrate 1 50 50 x twice, then evaluate the integral over the limits 8 and 9. 1 OC. Evaluate the expression 5x over the limits 8 and 9, then subtract 1 50 D. Integrate 50x, then evaluate the integral over the limits 8 and 9. P(8x9)= (Type an integer or a simplified fraction.)
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