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Big Ideas Math Algebra 2, 2014

BI

Big Ideas Math Algebra 2, 2014 View details

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Exercise 1 Page 618

To start, find the difference between the mean score and the given score.

84 %

Practice makes perfect

We have been given a normally distributed data set of values with a mean of 32 and a standard deviation of 4. We will find the probability that a randomly selected x-value is at least 28. x≥ 28 First, let's find the difference between 28 and the mean 32.

28- 32= - 4 Then, we will divide the difference by the standard deviation 4. - 4/4=- 1 Therefore, 28 is 1 standard deviation below the mean. To find the percentage, we will shade the percent of data which is greater than or equal to 1 standard deviation below the mean.

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

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

Add terms

p=84 %

The probability that a randomly selected x-value is at least 28 is 84 %.

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Exercises p.618