1. Ten observations of X are
67 6 7 35 78 28 74 5 9 37
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)
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.