A bag contains a large number of \(1 \mathrm { p } , 2 \mathrm { p }\) and 5 p coins.
\(50 \%\) are 1 p coins
\(20 \%\) are \(2 p\) coins
30\% are 5p coins
A random sample of 3 coins is chosen from the bag.
List all the possible samples of size 3 with median 5p.
Find the probability that the median value of the sample is 5 p .
Find the sampling distribution of the median of samples of size 3