Question

What is the goodness of fit test for the multinomial experiment? Explain it to your classmates in detail providing examples. Remember, use your own words and examples.

Answer 1

Solution: Given that The multinomial experiment is one where you perform an experiment with mutiple outcomes multiple times Gample: The rolling a b sided dice 3 times and trying to discover the Probobilily of getting 3 all 3 times U Binomial experimenty, the total outcomes Recall from outcomes that need to be n is a träals k is outcomes the multinomial has multiple statis bied. n! (n-Kb)k! two counting sets of outcome A sample space with out of a total of ni and (n-k) outcomes kl out comes outcomes.

which means that to get twee multinomial coelbicient we can expand from the binomiol. Since the total outcomesh are being counted in the nombrate? and the sub outcomes in the denominato? of we want to bind the ways we can noll a dice three times and get i onece, 3 once, and 6 once and os for the other possibilities it would be like this then 1 2 3 4 5 6 11011101011! 1,0, 1, 0, 0,1 1 %.° (76)' (%6)º( 7630 1,0,1,0,0,