Determine whether the given procedure results in a binomial distribution. If not, state the reason why.
-Choosing 8 marbles from a box of 40 marbles (20 purple, 12 red, and 8 green) one at a time with replacement, keeping track of the number of red marbles chosen.
A) Procedure results in a binomial distribution.
B) Not binomial: the trials are not independent.
C) Not binomial: there are more than two outcomes for each trial.
D) Not binomial: there are too many trials.

Question

Quizplus · Accepted Answer

The procedure results in a binomial distribution because each trial (choosing a marble) is independent, there are only two outcomes of interest (red or not red), the probability of choosing a red marble remains constant due to replacement, and there is a fixed number of trials (8).

Determine Whether the Given Procedure Results in a Binomial Distribution