Posted by **Anonymous** on Wednesday, June 27, 2012 at 6:56pm.

Three cards are randomly chosen, without replacement, from a standard deck of

52. The random variable X represents the number of hearts cards chosen.

Construct the probability distribution for X.

- statistics -
**MathMate**, Wednesday, June 27, 2012 at 8:43pm
Sample space, S={0,1,2,3}

PDF:

-∞<X<0 P(X)=0

P(0)=39*38*37/3! /C(52,3) no heart

P(1)=13*39*38/2! /C(52,3) 1 heart, 2 cards of other suits

P(2)=13*12/2!*39 /C(52,3) 2 hearts, 1 card of other suits

P(3)=13*12*11/3! /C(52,3) 3 hearts

3<X<∞ P(X)=0

Make sure that the values of the discrete PDF add up to 1.

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