Respuesta :

STEP - BY - STEP EXPLANATION

What to find?

Percentage of population that has a bill less than $87

Given:

mean (μ)= 70

standard deviation (σ) =8

score (x) =87

Step 1

Recall the formula to use.

[tex]Z<\frac{X-\mu}{\sigma}[/tex]

Step 2

Substitute the values into the above.

[tex]Z<\frac{87-70}{8}=\frac{17}{8}\approx2.13[/tex]

Step 3

Use table to find the value.

[tex]Z<2.13=0.9834[/tex]

Step 4

Convert to percentage.

[tex]\begin{gathered} 0.9834\times100 \\ \\ \approx98\text{ \%} \end{gathered}[/tex]

ANSWER

D) 98 %

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