The amount of Jen s monthly phone bill is normally distributed with a mean of $60 and a standard deviation of $12. Fill in the blanks: 68% of her phone bills are between $ and .
Question:
The amount of Jen s monthly phone bill is normally distributed with a mean of $60 and a standard deviation of $12. Fill in the blanks: 68% of her phone bills are between $ _____ and $ _____.
Answers (1)
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Answers (1)
JeanneApril 8, 2023 в 19:08
68% of Jen's phone bills are between $48 and $72.
Explanation:
Since her monthly phone bill is normally distributed with a mean of $60 and a standard deviation of $12, we can use the empirical rule to determine the range of bills that fall within 1 standard deviation of the mean.
According to the empirical rule, \approx imately 68% of the data falls within 1 standard deviation of the mean. Therefore, we can find the range of bills that fall within this range by performing the following calculations:
Lower limit:
$60 - ($12 x 1) = $48
Upper limit:
$60 + ($12 x 1) = $72
So 68% of Jen's phone bills fall between $48 and $72.
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