# Order stats

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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!

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#### Solution Summary

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.

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