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binomial distributions?
in a binomial distribution, if the number of trials is held constant but the probability of successes increases, what happens to the mean and standard deviation?
I'm taking statistics, but I don't understand this part.
1 Answer
- RobertLv 61 decade agoFavorite Answer
Let p be the probability of success. The mean is np, so if n is constant, np increases as p increases.
The standard deviation is √[np(1 - p)]
As p increases from 0 to 0.5, p(1 - p) increases. As p continues to increase from 0.5 to 1, p(1 - p) decreases. Hence, for constant n, the standard deviation will decrease as p increases from 0.5 to 1.
