Finite Math Examples

$p = 1450$ , $n = \frac{2}{5}$

Step 1

The mean of a binomial distribution is the number of trials multiplied by the probability.

$μ = n \cdot p$

Step 2

Fill in the known values.

$μ = \frac{2}{5} \cdot 1450$

Step 3

Evaluate the result.

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Step 3.1

Cancel the common factor of $5$ .

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Step 3.1.1

Factor $5$ out of $1450$ .

$μ = \frac{2}{5} \cdot (5 (290))$

Step 3.1.2

Cancel the common factor.

$μ = \frac{2}{5} \cdot (5 \cdot 290)$

Step 3.1.3

Rewrite the expression.

$μ = 2 \cdot 290$

Step 3.2

Multiply $2$ by $290$ .

$μ = 580$