Question

determine whether the given procedure results in a binomial distribution. if not, state the reason why. choosing 11 marbles from a box of 40 marbles (18 purple, 7 red, and 15 green) one at a time without replacement, keeping track of the number of red marbles chosen. not binomial: the trials are not independent not binomial: there are more than two outcomes for each trial binomial

Explanation:

In a binomial distribution, trials must be independent. Here, marbles are chosen without replacement. So, the probability of getting a red marble changes with each draw, meaning the trials are not independent. Also, there are three - purple, red, and green - possible outcomes for each draw instead of just two.

Answer:

Not binomial: the trials are not independent; Not binomial: there are more than two outcomes for each trial