1. ## binomial distribution

i could really do with some help with this for my coursework.

basically i rolled five dice 200 times and had to write down how many times i got a 6 in each throw.
now i have to do the binomial distribution with the results and then the chai square

does anyone know what to do. i dont really understand all of the text available on the internet

2. For each die on each individual throw, Pr(6) = 1/6, Pr(not 6) = 5/6

For each throw of 5 dice,

$Pr(5\;6s) = 1(1/6)^{5}(5/6)^{0}$
$Pr(4\;6s) = 5(1/6)^{4}(5/6)^{1}$
$Pr(3\;6s) = 10(1/6)^{3}(5/6)^{2}$
$Pr(2\;6s) = 10(1/6)^{2}(5/6)^{3}$
$Pr(1\;6s) = 5(1/6)^{1}(5/6)^{4}$
$Pr(0\;6s) = 1(1/6)^{0}(5/6)^{5}$

You should be able to specify entirely such a small distribution. It is a very orderly construct.

Use the $\chi^{2}$ test to see how well your experiment matches these probabilities.