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

n=128,

p=0.27
The mean is

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

σ^2 is
(Round to the nearest tenth as needed.)

The standard deviation, __

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nitenurse nitenurse

02-08-2017
Mathematics

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

n=128,

p=0.27
The mean is

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

σ^2 is
(Round to the nearest tenth as needed.)

The standard deviation, __

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redbadge redbadge · Answer 1 · 2017-08-15T06:59:41+02:00

A binomial distribution is an experiment where there are two outcomes; Success and failure. In here, you are given n = 128 and p = 0.27. The formula for the variance of a binomial distribution is n*p(1 – p) or n*p*q*. They are equivalent because q = 1- p. We will use the first equation.

Variance = n*p*(1 – p)

Variance = 128*0.27*(1 – 0.27)

Variance = 25.23

To get the standard deviation, find the square root of the variance.

Standard deviation = sqrt (Variance)

Standard deviation = sqrt (25.23)

Standard deviation = 5.02