Statistics Examples

$μ = 7$ , $σ = 3.39$ , $x < 7.59$

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.

$\frac{7.59 - (7)}{3.39}$

Simplify the expression.

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Simplify the numerator.

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Multiply $- 1$ by $7$ to get $- 7$ .

$\frac{7.59 - 7}{3.39}$

Subtract $7$ from $7.59$ to get $0.59$ .

$\frac{0.59}{3.39}$

Divide $0.59$ by $3.39$ to get $0.17404129$ .

$0.17404129$

Since $0.17404129 > 0.17404129$ , there are no solutions.

No solution

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