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Title: The standard deviation of a binomial distribution for which n = 100 Post by: Stevbo on Jul 5, 2016 The standard deviation of a binomial distribution for which n = 100 and p = 0.40 is 24.0.
True or False Title: Re: The standard deviation of a binomial distribution for which n = 100 Post by: bio_man on Jul 5, 2016 The formula for the standard deviation of a binomial distribution is
s = √npq where q = 1-p = 1-0.40 = 0.60 or you may have learned the formula without q, but with 1-p like this: s = √np(1-p) s = √100(0.40)(0.60) s = √24 = 4.8990 So it's the square root of 24, (not 24 without a square root over it.) Answer: false Note: the formula for the mean is m = np without a square root. But the formula for the standard deviation does have a square root. If you had been asked for the variance s² = npq, not the standard deviation, then 24 would have been the answer, but the standard deviation is the square root of the variance. |