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Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p. n=60, p=0.7


o Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p. n=60, p=0.7

Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p. n=60, p=0.7 

The mean, μ, is _______  (Round to the nearest tenth as needed.) 

The variance, σ2, is _______ (Round to the nearest tenth as needed.) 

The standard deviation, σ, is _______ (Round to the nearest tenth as needed.)



Solutions

Expert Solution

If X follows Binom( n, p ), then the mean of X is given by np and variance is given by npq.

Here we have a Binom( 60 , .7) distribution

Hence,

a)

The mean is np = 60*.7 = 42

b)

Variance is npq = np(1-p) = 60*.7*(1-.7) = 12.6

c)

Standard deviation is the square root of variance and is 3.5

milcah answered 2 years ago
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