Statistics Examples

$μ = 7$ , $σ = 1.69$ , $x < 7.23$

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.

$\frac{7.23 - (7)}{1.69}$

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 $7$ .

$\frac{7.23 - 7}{1.69}$

Step 2.2.1.2

Subtract $7$ from $7.23$ .

$\frac{0.23}{1.69}$

Step 2.2.2

Divide $0.23$ by $1.69$ .

$0.13609467$

Step 3

Since $0.13609467 > 0.13609467$ , there are no solutions.

No solution