Suppose you sample from an urn with 12 red balls and 6 green balls. You choose three balls without replacement.

What is the Probability Mass Function (PMF) for the number of red balls drawn? What is the mean and standard deviation?

probability mass function for the red balls = 12/(12+6) = 0.66

The mean is the average values which can be calculated using following formula.

here n is the sample size and the x correspond to the observed valued.

where standard deviation ..

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