# Rayleigh random variable

What is the probability that a Rayleigh random variable lies between the 1.5 and 2.5 sigma?

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#### Solution Preview

Because, Rayleigh distribution,

f(r) = (r/2*s^2)*exp^(-r^2/2*s^2)

Here, s == sigma

P(r = 1.5 to 2.5) = integration ...

#### Solution Summary

Rayleigh random variable is emphasized.

$2.49