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Zolol [24]
3 years ago
13

When Riley goes bowling, her scores are normally distributed with a mean of 160 and

Mathematics
1 answer:
e-lub [12.9K]3 years ago
6 0

Answer:

The interval that would represent the middle 68% of the scores of all the games that Riley bowls is (147, 173).

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 160, standard deviation of 13.

Middle 68% of the scores of all the games that Riley bowls.

Within 1 standard deviation of the mean, so:

160 - 13 = 147.

160 + 13 = 173.

The interval that would represent the middle 68% of the scores of all the games that Riley bowls is (147, 173).

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Step 2 : Bring down the first coefficient to the bottom row.

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Step 3 : Multiply it by 1, and carry the result into the next column.

                       1         1      0    -1     1    -1    

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Step 4 : Add down the column

                       1        1       0    -1     1    -1    

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Step 5 : Multiply it by 1, and carry the result into the next column

                       1        1      0     -1     1     -1    

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Step 7 : Multiply it by 1, and carry the result into the next column

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