What are the mean and standard deviation of a binomial

Juan Hewlett

Juan Hewlett

Answered question

2022-01-16

What are the mean and standard deviation of a binomial probability distribution with n=12 and p=1523?

Answer & Explanation

deginasiba

deginasiba

Beginner2022-01-16Added 31 answers

Explanation:
Given -
n=12
p=1523
q=1-p
q=11523=823
Mean = np =12×1523=71923
SD=npq=12×1523×823=2382529=1.65
sonorous9n

sonorous9n

Beginner2022-01-17Added 34 answers

15230.65
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=120.65
Multiplying the expression we have
μ=7.8
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=120.65(10.65)
Evaluating the expression on the right, we have
σ=2.73
σ=1.65

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