What are the mean and standard deviation of a binomial

Alfred Martin 2022-01-19 Answered
What are the mean and standard deviation of a binomial probability distribution with n=10 and p=45?
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lovagwb
Answered 2022-01-19 Author has 50 answers
Explanation:
Mean=np=10×45=8
SD=npq
q=1p=145=15
SD=10×45×15=1.265
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Nadine Salcido
Answered 2022-01-20 Author has 34 answers
45=0.8
The mean of the binomial distribution is interpreted as the mean number of successes for the distribution. To find the mean, use the formula
μ=np
where n is the number of trials and p is the probability of success on a single trial. Substituting values for this problem, we have
μ=100.8
Multiplying the expression we have
μ=8
The standard deviation of the binomial distribution is interpreted as the standard deviation of the number of successes for the distribution. To find the standard deviation, use the formula
σ=np(1p)
where n is the umber of trials and p is the probability of success on a single trial. Substituting values fo this problem, we have
σ=100.8(10.8)
Evaluating the expression on the right, we have
σ=1.6
σ=1.26
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