A box contains 8 marbles: 3 red, 4 blue, and 1 green. We draw without replacement from the box 4 times. Let X be the number of red marbles drawn out. Is X a binomial random variable?
1 answer
No, X is not a binomial random variable because the condition for a binomial random variable is that each draw from the box must be independent and identically distributed. However, in this case, each draw from the box is not independent since the number of red marbles and the total number of marbles in the box change after each draw.