##### Probability Mass Function

 Statistics Tutor: None Selected Time limit: 1 Day

suppose you sample from an urn with 12 red balls and 6 green balls. you choose 3 balls without replacement.

What is the Probability mass function for the number of red balls drawn? What is the mean, and the standard deviation for this distribution?

Apr 27th, 2015

Let X be the number of red balls appearing in a draw of 3 balls from the urn.

The probability that exactly k balls of the n drawn are red is (the pmf):

Pr{X = k} = C(12, k) * C(6, 3-k) / C(18, 3)

The mean of the pmf (for the hypergeometric distribution) is, in this case, 3* (12/18).

The variance is V = 3 * (12/18) * (6/18) * [(18-3)/(17)], so the standard deviation s = sqrt(V)

Apr 27th, 2015

BTW, C(a,b) is the number of combinations of a objects taken b at a time.

Apr 27th, 2015

...
Apr 27th, 2015
...
Apr 27th, 2015
May 28th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer