Let f(x) =1/6, x=1,2,3,4,5,6, zero elsewhere be the pmf of a distribution of the discrete type. Show that the pmf of the smallest observation of a random sample of size 5 from this distribution is:
g1(y1)= [(7-y1)/6]^5 - [(6-y1)/6]^5, y1=1,2,3,4,5,6
What is the cdf of y1?
For some reason, I just can't seem to understand this problem. Please help!© BrainMass Inc. brainmass.com March 4, 2021, 6:17 pm ad1c9bdddf
This solution is provided in 97 words in an attached .doc file. It uses extensive calculations to find cdf and pmf and order the integers from 1 to 6.