Question 322795: Two jelly beans are selected, one at a time from a bowl containing 10 black, 10 red and 10 green jelly beans. Let x represent the number of black jelly beans selected in 2 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.
(Points :4)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Two jelly beans are selected, one at a time from a bowl containing 10 black, 10 red and 10 green jelly beans. Let x represent the number of black jelly beans selected in 2 draws from the bowl.
(A) If this experiment is completed without replacing the jelly beans, explain why x is not a binomial random variable.
The probability of selecting a black bean changes after each selection.
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(B) If this experiment is completed with replacement of the jelly beans, explain why x is a binomial random variable.
The probability of selecting a black bean is the same at each drawing.
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Cheers,
Stan H.
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