1. Ten observations of X are
67 6 7 35 78 28 74 5 9 37
a) Find the order statistics
b) Find the median and 80th percentile of the sample
c) Determine the first and third quartiles of the sample
2. Let Y1<Y2<Y3<Y4<Y5 be the order statistics of 5 independent observations of an exponential distribution with mean 3.
a) Find the pdf of the sample median Y3
b) Compute the probability that Y4 is less than 5
c) Determine P(1<Y1)
(See attachment for questions in full with mathematical notation)© BrainMass Inc. brainmass.com August 19, 2018, 6:00 am ad1c9bdddf
The solutions are given in a Word attachment with equations written in Mathtype. Each solution is explained step-by-step and calculations are worked rather than being calculated by computer or calculator.