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.1f(x) = 50x, for 0≤x≤ 10Find P(6 ≤x≤ 10), the probability that the dart lands in [6,10].How is the probability that the dart lands in [6,10] found?1O A. Integrate 50x twice, then evaluate the integral over the limits 6 and 10.1O B. Evaluate the expression 50x over the limits 6 and 10, then subtract.1OC. Evaluate the expression over the limits 6 and 10, then add.1ⒸD. Integrate 50x, then evaluate the integral over the limits 6 and 10.P(6≤x≤ 10) = (Type an integer or a simplified fraction.)C

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Answered: A dart is thrown at a number line in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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. 1 f(x) = 50 x, for 0≤x≤ 10 Find P(6 ≤x≤ 7), the probability that the dart lands in [6,7]. How is the probability that the dart lands in [6,7] found? 1 O A. Integrate 50x twice, then evaluate the integral over the limits 6 and 7. 1 O B. Evaluate the expression 50x over the limits 6 and 7, then add. 1 OC. Integrate 50x, then evaluate the integral over the limits 6 and 7. O D. Evaluate the expression over the limits 6 and 7, then subtract. 1 50 P(6 ≤x≤7)= (Type an integer or a simplified fraction.)
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