Statistics Examples

Use the Table to Find the z-Score
, ,
Find the mean of the binomial distribution using the formula.
Find the population proportion.
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The population proportion is the number of true results divided by the total samples .
Fill in the known values.
Simplify the expression.
Fill in the known values to find .
Simplify the expression.
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Simplify the numerator.
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Multiply by .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Combine the numerators over the common denominator.
Factor out of .
Apply the distributive property.
Rewrite as .
Multiply by .
Simplify.
Simplify .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Combine the numerators over the common denominator.
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Combine the numerators over the common denominator.
Remove parentheses.
Simplify the numerator.
Simplify the denominator.
Multiply the numerator by the reciprocal of the denominator.
Move the negative in front of the fraction.
Cancel the common factor of .
Reduce the expression by cancelling the common factors.
Simplify.
Factor out of .
Reduce the expression by cancelling the common factors.
Simplify the denominator.
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Start simplifying.
Multiply by .
Divide by .
Multiply the numerator by the reciprocal of the denominator.
Multiply by .
Simplify.
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Combine.
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite as .
Multiply by .
Multiply by .
Factor out of .
Separate fractions.
Evaluate the root.
Divide by .
Divide by .
Multiply by .
Simplify .
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Write as a fraction with denominator .
Multiply and .
Simplify the expression.
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Move to the left of the expression .
Multiply by .
Move .
Move .
Factor out of .
Factor out of .
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Rewrite as .
Move .
Multiply by .
Factor out of .
Simplify the expression.
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Rewrite as .
Move the negative in front of the fraction.
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