Binomial Distribution can be defined as the probability distribution of number of successes in an experiment which is run multiple times. For example a coin is flipped 100 times. Here probability of getting head (p) is 0.5. Sample size (n) is 100.
The mean of the binomial distribution is calculated as:
μ_{x} = n*p
μ_{x} = 100*0.5
The standard deviation of the binomial distribution is calculated as:
σ_{x} = \sqrt{n*p*(1−p)}
σ_{x} = \sqrt{100*0.5*(1−0.5)}
Enter values of sample size and population proportion of success in the calculator below for calculating mean and standard deviation for binomial distribution.
Solution
μ_{x} = 50 σ_{x} = 5.0000Step by Step Calculation
μ_{x} = n*p
μ_{x} = 100*0.5
μ_{x} = 50
σ_{x} = \sqrt{n*p*(1−p)}
σ_{x} = \sqrt{100*0.5*(1-0.5)}
σ_{x} = 5.0000
Sample size (n) can't be less than or equal to 0. It must be a whole number. Population proportion (p) must lie between 0 and 1.
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