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**Sashikala** A large bag of counters has 25% with the number 0 on, 25% with the number 2 on, and 50% with the number 1. A random sample of size 3 is taken from the bag.

(a) List all the possible samples

(b) Find the sampling distribution for median N.

For (a) it will be (000),(001),(010),(100),(002),(020),(200),(111),(1 10),(101),(011),(222),

(220),(202),(022),(112),(121),(211),(221),(212),(1 22),(012),(102),(201),(021),(120),(210)

For (b) how to find the solution? I’m getting the wrong distribution.

The answer for (b) is

N 0 1 2

P(n) 10/64 44/64 10/64

ie P(n=0)=10/64

P(n=1) = 44/64

P(n=2) = 10/64

Pls help me on (b). What are the samples come for P(n=0)?