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maxonik [38]
4 years ago
12

Evelyn's points per pinball game are normally distributed with a standard deviation of 18 points. If Evelyn scores 405 points, a

nd the z-score of this value is −3, then what is her mean points in a game?
Mathematics
1 answer:
Bezzdna [24]4 years ago
4 0

Answer:

The mean point is 459

Step-by-step explanation:

We use the formula:

z =  \frac{x -  \mu}{ \sigma}

Evelyn's points per pinball game are normally distributed with a standard deviation of 18 points.

This means:

\sigma = 18

From the question, the standard deviation of 405 points is -3.

We substitute x=405, and z=-3 to get:

- 3 =  \frac{405 -  \mu}{ 18}

Multiply through by 18 to get:

- 3 \times 18 = 405 -  \mu

- 54 =  405 -  \mu

- 54 - 405 = -   \mu

- 459 =  -  \mu

Divide through by -1

\mu = 459

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