Question

Suppose that you and two friends go to a​ restaurant, which last month filled approximately 88.3...

Suppose that you and two friends go to a​ restaurant, which last month filled approximately 88.3 % of the orders correctly.

What are the mean and standard deviation of the binomial​ distribution? Interpret these values.

The mean is_____

The standard deviation is_____

Interpret the mean and standard deviation

On average, ____ orders are correctly filled, while there is an approximate variation of _____ from the ____(maximum, minimun, or average) number of orders_____(taken, correctly filled, or incorrectly filled)

Round to four decimal places as needed for each question.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Sample size (n) = 3

p = P(Filled orders correctly) = 88.3% = 0.883

Mean of the binomial distribution is, n*p

Hence, Mean = 3*0.883 = 2.649

The standard deviation of the binomial distribution is,

Standard deviation = 0.5567

Variance = (standard deviation)^2 = 0.3099

The interpretation of mean and standard deviation:

On average, 2.694 orders are correctly filled, while there is an approximate variation of 0.5567 from the average number of orders correctly filled.

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