# Order Statistics

Let X1, X2, X3 be random sample from a distribution of the continuous type having pdf f(x)=2x, 0 <x < infinity, 0 elsewhere. Compute the probability that the smallest of X1, X2, X3 exceeds the median of the distribution.

© BrainMass Inc. brainmass.com June 3, 2020, 5:37 pm ad1c9bdddfhttps://brainmass.com/statistics/probability/order-statistics-sample-distributions-33107

#### Solution Preview

pls see attached file

Solution:

We don't need the distribution of order statistics here, and I think ...

#### Solution Summary

Let X1, X2, X3 be random sample from a distribution of the continuous type having pdf f(x)=2x, 0 <x < infinity, 0 elsewhere. Compute the probability that the smallest of X1, X2, X3 exceeds the median of the distribution.

$2.19