Compare the Markov inequality and the exact probability for the event {x > c}, where x is the random variable as a function of the constant c. With that, answer for the following cases: a)x is a uniform random variable in the interval [0, b]. b)x is an exponential random variable of parameter a. c)x is a Rayleigh random variable.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Compare the Markov inequality and the exact probability for the event {x > c}, where x is the random variable as a function of the constant c. With that, answer for the following cases:
a)x is a uniform random variable in the interval [0, b].
b)x is an exponential random variable of parameter a.
c)x is a Rayleigh random variable.

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