Statistics Examples

μ = 7

$μ = 7$ ,

σ = 1.69

$σ = 1.69$ ,

x < 7.3

$x < 7.3$

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}

$\frac{x - μ}{σ}$

Step 2

Find the z-score.

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Step 2.1

Fill in the known values.

\frac{7.3 - (7)}{1.69}

$\frac{7.3 - (7)}{1.69}$

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

$- 1$ by

7

$7$ .

\frac{7.3 - 7}{1.69}

$\frac{7.3 - 7}{1.69}$

Step 2.2.1.2

Subtract

7

$7$ from

7.3

$7.3$ .

\frac{0.3}{1.69}

$\frac{0.3}{1.69}$

\frac{0.3}{1.69}

$\frac{0.3}{1.69}$

Step 2.2.2

Divide

0.3

$0.3$ by

1.69

$1.69$ .

0.17751479

$0.17751479$

0.17751479

$0.17751479$

0.17751479

$0.17751479$

Step 3

Since

0.17751479 > 0.17751479

$0.17751479 > 0.17751479$ , there are no solutions.

No solution

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