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 2 years ago
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.
 2 years ago
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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jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0Hint: 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

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0a good example is flipping a coin you either get heads or tails

kropot72
 2 years ago
Best ResponseYou've already chosen the best response.0On 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.

kropot72
 2 years ago
Best ResponseYou've already chosen the best response.0@jim_thompson5910 Have you any comment?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0yes 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

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0it 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

Garcia_123
 2 years ago
Best ResponseYou've already chosen the best response.0ok, then its not binomial

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0yeah you have 6 possible outcomes per trial, not 2

kropot72
 2 years ago
Best ResponseYou've already chosen the best response.0The binomial distribution can be used to give the probability of the number of 1s, 2s, 3s etc when the die is rolled 57 times.

Garcia_123
 2 years ago
Best ResponseYou've already chosen the best response.02 outcomes for a trial

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0true 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

Garcia_123
 2 years ago
Best ResponseYou've already chosen the best response.0okie ! thank you @kropot72 and @jim_thompson5910 (y) ;) great help

kropot72
 2 years ago
Best ResponseYou've already chosen the best response.0It 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.
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