Question 610377: Three marbles are selected, one at a time from a bin of marbles containing 6 black, 6 red and 6 green marbles. Let x represent the number of black marbles drawn in 3 draws.
(A) If this experiment is completed without replacing the marbles, explain why x is not a binomial random variable.
(B) If this experiment is completed with replacement of the marbles, explain why x is a binomial random variable.
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website!
Hi,
Three marbles are selected, one at a time from a bin of marbles containing 6 black, 6 red and 6 green marbles
Let x represent the number of black marbles drawn in 3 draws.
(A) If this experiment is completed without replacing the marbles, explain why x is not a binomial random variable.
trials are NOT  of one another and P(black) is different for each trial
(B) If this experiment is completed with replacement of the marbles, explain why x is a binomial random variable.
Satisfies all of the below.
______________________________________________________________________________
A binomial experiment (also known as a Bernoulli trial) is a statistical experiment that has the following properties:
■The experiment consists of n repeated trials.
■ Each trial can result in just two possible outcomes. We call one of these outcomes a success and the other, a failure.
■ The probability of success, denoted by P, is the same on every trial.
■ The trials are  ; that is, the outcome on one trial does not affect the outcome on other trials.
|
|
|
