1. ## Probability Distributions Problem

I am trying to do this problem and I have the answer key of course to it. But I can't quite figure out how to get there if someone could help me out.

An urn holds 5 white and 3 black marbles. If 2 marbles are to be drawn at random with replacement and X denotes the number of white marbles, find the probability distribution for X.

Thanks for any help.

2. that's a binomial n=2, p=5/8
(if you do it this without replacement it's a hypergeometric)

$\displaystyle P(X=x)={2 \choose x}(5/8)^x(3/8)^{2-x}$, x=0,1,2.

3. Was that the binomial distribution?

4. that is binomial, since the probability of succes (white) remains at 5/8
and the probability of failure stays at 3/8.

If you do not replace these marbles, then it will be a hypergeometric rv.

5. Oh ok, I see that now thank you

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# An urn holds 5 White and 3 black marbles.If 2 marbles are drawn at random with replacement and x denotes the number of white marbles, find its probability of x

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