# Order Statistics

Not what you're looking for? Search our solutions OR ask your own Custom question.

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.

Â© BrainMass Inc. brainmass.com October 7, 2022, 9:06 am 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.

$2.49