SOLUTION: A box contains two red chips and three white chips. Let X denote the number of draws until a red chip is selected.
(1) Find the discrete pdf for X if the chips are drawn at rand
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Question 342367: A box contains two red chips and three white chips. Let X denote the number of draws until a red chip is selected.
(1) Find the discrete pdf for X if the chips are drawn at random, with replacement.
Answer by jrfrunner(365) (Show Source): You can put this solution on YOUR website!
since the drawing is with replacement
the probability of selecting a red is constant.
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Let prob(red)=p=2/5 , let prob(white)=1-p=3/5
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If X represent number of draws until the first success, ie selecting the first red,
then the pdf of X implies that there will be X-1 failures and the last one will be a success
= for x>0
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this is the geometric probability distribution, since is sequence increases geometrically
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