Question 462350: Five jelly beans are selected, one at a time from a bowl containing 6 black, 6 red and 6 green jelly beans. Let x represent the number of red jelly beans selected in 5 draws from the bowl.
(A) If this experiment is completed without replacing the jelly beans, explain why x is not a binomial random variable.
(B) If this experiment is completed with replacement of the jelly beans, explain why x is a binomial random variable.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Five jelly beans are selected, one at a time from a bowl containing 6 black, 6 red and 6 green jelly beans. Let x represent the number of red jelly beans selected in 5 draws from the bowl.
(A) If this experiment is completed without replacing the jelly beans, explain why x is not a binomial random variable.
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The probability for each trial will change after each draw.
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(B) If this experiment is completed with replacement of the jelly beans, explain why x is a binomial random variable.
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The probability for drawing x red jelly beans will be the
same for each trial.
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Cheers,
Stan H.
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