Determine whether the given procedure results in a binomial distribution. If not, state the reason why.
Rolling a single die 57 times, keeping track of the numbers that are rolled.
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Hint: a binomial distribution is the result of doing n Bernoulli trials (and each trial is independent with the same probability of success)
a Bernoulli trial is a trial with exactly two outcomes
a good example is flipping a coin
you either get heads or tails
On the condition that rolling a particular number was regarded as a success and rolling any other number was a failure, the procedure will result in a binomial distribution.
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@jim_thompson5910 Have you any comment?
yes if you said something like "rolling an even number" then it would be a binomial distribution since there are only two options: rolling an even or rolling an odd
but it doesn't give such restrictions
it just says "keeping track of the numbers that are rolled"
so you would have some probability distribution, but it wouldn't be a binomial distribution
ok, then its not binomial
yeah you have 6 possible outcomes per trial, not 2
The binomial distribution can be used to give the probability of the number of 1s, 2s, 3s etc when the die is rolled 57 times.
2 outcomes for a trial
* yeah more than 2
true you could use it like that, but it doesn't specify which number you're going for
so I'm assuming they're just saying in general that you have 6 outcomes instead of 2
okie ! thank you @kropot72 and @jim_thompson5910 (y) ;) great help
It depends on how the trial is defined. I agree that the expected answer to the question is that the procedure in itself does not meet the requirements for a binomial distribution.