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Pearson Algebra 2 Common Core, 2011

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Pearson Algebra 2 Common Core, 2011 View details

10. Normal Distributions

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Exercise 26 Page 744

To start solving, find the difference between the mean of the data set and the lower bound of the given interval.

50 %

Practice makes perfect

We know that the set of data is normally distributed with a mean of 100 and a standard deviation of 10. We will find the probability of choosing a value that is at least 100. x≥ 100 First, let's find the difference, between 100 and the mean 100.

100- 100= 0 Then, we will divide the difference by the standard deviation 10. 0/10= Thus, 100 is standard deviations from the mean. To find the probability, we will shade the percent of data which is at least equal to the mean.

Finally, we can find the percentage by adding the percentages of the shaded areas.

p=34 %+13.5 %+2.35 %+0.15 %

Add terms

p=50 %

The probability of choosing a random value, that is at least 100, is equal to 50 %.

Subchapter links

Lesson Check p.743

Practice and Problem-Solving Exercises p.743-745

Standardized Test Prep p.745

Mixed Review p.745