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Suchithra's Statistics Classes -- Binomial Distribution, Part 2

Binomial Distribution – B.D
Part – 2
Raw moments, Mean , Variance,
Skweness & Kurtosis
(Based on complimentary Statistics of
Bsc , University of Calicut)

(q + p)n = 1 =
Things to be in mind......
(q + p)n-1 = =1
(q + p)n-2 =1 =
and so on

n-x = (n-1) - (x-1)
= (n-2) – (x-2)
= (n-3)- (x-3)
=(n-4) –(x-4) and so on

Suchithra's Statistics Classes -- Binomial
Distribution, Part 2

Mean

= np(1-p) = npq

Measures of Skewness

Measures of Kurtosis

Instead of the r.v X, if we consider the r.v X/n,
i.e, the proportion of successes in n trials.
X/n follows a binomial distribution with arguments
0/n, 1/n, 2/n,..... n/n;

Things to know from this class
• Obtain the mean & variance of binomial
distribution
• Discuss on the skweness of B.D
• How can we interpret kurtosis of B.D ?

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Binomial distribution Part 2

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Binomial distribution Part 2