Statistics Examples

$μ = 8$ , $σ = 3.87$ , $x < 8.82$

The z-score for a value $x$ of a random variable is the number of standard deviations that $x$ falls from the mean $µ$ .

$z-score = number of standard deviations from the mean$

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

$\frac{x - μ}{σ}$

Find the z-score.

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Fill in the known values.

$\frac{8.82 - (8)}{3.87}$

Simplify the expression.

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Simplify the numerator.

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Multiply $- 1$ by $8$ .

$\frac{8.82 - 8}{3.87}$

Subtract $8$ from $8.82$ .

$\frac{0.82}{3.87}$

Divide $0.82$ by $3.87$ .

$0.2118863$

Since $0.2118863 > 0.2118863$ , there are no solutions.

No solution

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