Question 228401: Two yellow marbles are selected, one at a time from a jar of marbles containing 10 black, 10 brown, 10 white and 10 green marbles. Let x represent the number of yellow marbles selected in 2 separate selections from the jar.
(A) If this experiment is completed without replacing the marbles each time, explain why x is not a binomial random variable.
(B) If this experiment is completed with replacement of the marbles each time, explain why x is a binomial random variable.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Two yellow marbles are selected, one at a time from a jar of marbles containing 10 black, 10 brown, 10 white and 10 green marbles. Let x represent the number of yellow marbles selected in 2 separate selections from the jar.
(A) If this experiment is completed without replacing the marbles each time, explain why x is not a binomial random variable.
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The probability of selecting a yellow marble is not the same for each
of the trials because you have not put the selected marble back in the jar.
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(B) If this experiment is completed with replacement of the marbles each time, explain why x is a binomial random variable.
The probability of success is the same on all trials.
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Cheers,
Stan H.
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