Question 230639: Four cards are selected, one at a time from a standard deck of 52 cards. Let X represent the number of Jacks drawn in a set of 4 cards.
A) If this experiment is completed without replacement, explain why x is not a binomial random variable.
B) If this experiment is completed with replacement, explain why x is a binomial random variable.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Four cards are selected, one at a time from a standard deck of 52 cards. Let X represent the number of Jacks drawn in a set of 4 cards.
A) If this experiment is completed without replacement, explain why x is not a binomial random variable.
The probability (p) changes after each trial.
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B) If this experiment is completed with replacement, explain why x is a binomial random variable.
p is the same for each trial ; there are only two possible outcomes for
each trial ; the trial results are independent.
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Cheers,
Stan H.
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