Determine whether the given procedure results in a binomial distribution. If not

Question

Determine whether the given procedure results in a binomial distribution. If not, give the reason why not. Choosing 5 marbles from a box (20 purple, 12 red, and 8 green) one at a time without replacement, keeping track of the number of red marbles chosen Not binomial: there is no fixed number of trials Not binomial: there are more than two outcomes for each trial Not binomial: the trials are not independent Not binomial: for more than one of the reason given in the above answer choices This procedure results in a binomial distribution

Explanation / Answer

Option C) is correct.

Here we can see that, it is without replacement.

the outcome of one trial affecting that of the others.

Binomial distribution has assumptions:

a fixed number of trials,

the trials are independent,

each outcome is either a success =p or failure= 1-p

each favorable outcome has the same probability

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