Math, asked by Vmallikarjuna4450, 1 month ago

When Julia goes bowling, her scores are normally distributed with a mean of 200 and a standard deviation of 14. Using the empirical rule, what percentage of the games that Julia bowls does she score between 158 and 242?

Answers

Answered by amitnrw
0

Given :    Julia goes bowling, her scores are normally distributed with a mean of 200 and a standard deviation of 14.

To Find :   Using the empirical rule, what percentage of the games that Julia bowls does she score between 158 and 242

Solution:

Mean = 200

she score between 158 and 242

(158 - 200)/14  = - 3

(242 - 200)/14  =   3

Hence her score lies with in  - 3SD to + 3SD

As per empirical rule  

100 % data lies with in  - 3SD to + 3SD

Hence she will score 100 % between 158 and 242

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