What are the mean and standard deviation of a binomial probability distribution with n=150 and...

Ben Shaver

Ben Shaver

Answered

2022-01-18

What are the mean and standard deviation of a binomial probability distribution with n=150 and p=79?

Answer & Explanation

temzej9

temzej9

Expert

2022-01-18Added 30 answers

mean =np
standard deviation=npq
Explanation:
mean=150×79=3503116.7
standard deviation=150×79×(179)5.09
accimaroyalde

accimaroyalde

Expert

2022-01-19Added 29 answers

Solution:
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=15079
Multiplying the expression we have
μ=115.5
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=15079(179)
Evaluating the expression on the right, we have
σ=26.565
σ=5.09

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