anonymous
  • anonymous
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.
Mathematics
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katieb
  • katieb
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jim_thompson5910
  • jim_thompson5910
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
jim_thompson5910
  • jim_thompson5910
a good example is flipping a coin you either get heads or tails
kropot72
  • kropot72
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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kropot72
  • kropot72
@jim_thompson5910 Have you any comment?
jim_thompson5910
  • jim_thompson5910
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
jim_thompson5910
  • jim_thompson5910
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
anonymous
  • anonymous
ok, then its not binomial
jim_thompson5910
  • jim_thompson5910
yeah you have 6 possible outcomes per trial, not 2
kropot72
  • kropot72
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.
anonymous
  • anonymous
2 outcomes for a trial
anonymous
  • anonymous
* yeah more than 2
jim_thompson5910
  • jim_thompson5910
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
anonymous
  • anonymous
okie ! thank you @kropot72 and @jim_thompson5910 (y) ;) great help
kropot72
  • kropot72
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.
anonymous
  • anonymous
;)

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