Question 454965: Three socks are selected, one at a time from a clothes drawer containing 6 black, 6 brown and 6 green socks. Let x represent the number of brown socks selected in 3 selections from the drawer.
(A) if this experiment is completed without replacing the socks each time, explain why x is not a binomial random variable.
(B) if this experiment is completed with replacement of the socks each time, explain why x is a binomial random variable
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Three socks are selected, one at a time from a clothes drawer containing 6 black, 6 brown and 6 green socks. Let x represent the number of brown socks selected in 3 selections from the drawer.
(A) if this experiment is completed without replacing the socks each time, explain why x is not a binomial random variable.
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The probability of selecting a brown sock changes after each draw because
the sock selected is not returned to the drawer.
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(B) if this experiment is completed with replacement of the socks each time, explain why x is a binomial random variable
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The probability of selecting a brown sock is the same
at each draw because of replacement.
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Cheers,
Stan H.
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