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

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Calculus

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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 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.)

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