Answer:
σ = 1.27
Step-by-step explanation:
Given
Binomial distribution
n = 10
p = 0.2
Required
Calculate the standard deviation.
For a binomial distribution, the standard deviation is calculated as follows;
σ = √(np(1 - p))
n = 10 and p = 0.2
All we have to do is to substitute the values of n and p in the above formula.
This gives
σ = √(10 * 0.2 * (1 - 0.2))
σ = √(10 * 0.2 * 0.8)
σ = √1.6
σ = 1.26491106
Approximate
σ = 1.27
Hence, the standard deviation of a binomial variable where n = 10 and p = 0.2 is approximately 1.27
