Statistics Examples

Approximate Using the Normal Distribution
, ,
Find the mean of the binomial distribution.
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The mean of the binomial distribution can be found using the formula.
Fill in the known values.
Multiply by to get .
Find the standard deviation of the binomial distribution.
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The standard deviation of the binomial distribution can be found using the formula.
Fill in the known values.
Simplify the expression.
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Multiply by to get .
Multiply by to get .
Multiply by to get .
Evaluate the root.
Use the calculated values to find the z-score.
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The z-score for a value of a random variable is the number of standard deviations that falls from the mean .
The z-score converts a non-standard distribution to a standard distribution in order to find the probability of an event.
Find the z-score.
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Fill in the known values.
Simplify the expression.
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Simplify the numerator.
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Multiply by to get .
Subtract from to get .
Divide by to get .
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