Let X be a continuous random variable whose probability density function is given by the formulap(x) =120Iif 0 ≤ x ≤ 6if 6≤x≤ 10otherwise.Find the probability that X is between 5 and 11. Enter the exact answer as a fraction (not a decimal approximation).

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Answered: Let X be a continuous random variable…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Let X be a continuous random variable whose probability density function is given by the formula p(x) = 120 I if 0 ≤ x ≤ 6 if 6≤x≤ 10 otherwise. Find the probability that X is between 5 and 11. Enter the exact answer as a fraction (not a decimal approximation).