Question

Determine if the given procedure results in a bonimial distribution. If not, state why not. 5 marbles are selected from a box of 30 marbles (15 blue, 9 red, 6 green) one at a time without replacement, noting the number of green marbles observed.
select one:
a) it is not binomial: there are more than two possible results in each attempt
b) it is not binomial: there are many attempts
c) it is not binomial: the attempts are not independent
d) the procedure results in a binomial distribution

Answer 1

As we are drawing the 5 marbles here without replacement, therefore the probability of getting a green marble on the 5 draws here is not the same. For example after 1 green marble is drawn, the probability of getting a green marble on the second draw would be lower. This shows that the attempts here that is 5 attempts here are not independent. Therefore C is the correct answer here.

Note that A is not correct since there are only two outcomes possible here: Green or non Green.