To calculate: The probability that a box will not contain between 95 and 105 clips.
The probability that a box will not contain between 95 and 105 clips is 0.32.
Given:The number of paper clips per box follows a
Concept used:
The Empirical rule states that within one standard deviation of the mean, there is about 68% of the data, within two standard deviations of the mean, there is about 95% of the data, and within three standard deviations of the mean, there is about 99.7% of the data.
Calculation:
With reference to the normal distribution curve and empirical rule as shown above the one standard deviation away from points are calculated as shown below
Thus according to empirical rule 95 and 105 are one standard deviation away from the mean, thus between them about 68% of the data lie. Thus there is about
Conclusion:With reference to the empirical rule, the probability that a box will not contain between 95 and 105 paper clips is 0.32.
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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