Statistics Examples

$μ = 1$ , $σ = 0.36$ , $x > 0.91$

Step 1

The z-score converts a non-standard distribution to a standard distribution in order to find the probability of an event.

$\frac{x - μ}{σ}$

Step 2

Find the z-score.

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Step 2.1

Fill in the known values.

$\frac{0.91 - (1)}{0.36}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Simplify the numerator.

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Step 2.2.1.1

Multiply $- 1$ by $1$ .

$\frac{0.91 - 1}{0.36}$

Step 2.2.1.2

Subtract $1$ from $0.91$ .

$\frac{- 0.09}{0.36}$

Step 2.2.2

Divide $- 0.09$ by $0.36$ .

$- 0.25$

Step 3

Since $- 0.25 < - 0.25$ , there are no solutions.

No solution