Determine whether the given procedure results in a binomial

Determine whether the given procedure results in a binomial distribution. If not, state the reason why. Choosing 10 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.

Solution

It is not a Binomial distribution. Since

Procedure results in a binomial distribution.

1. Binomial distribution has fixed number of trials
2. The trials must be independent
3. out comes classified into two categories (success or failure
4. The probability of success remains the same in all trials