The standard normal curve shown below models the population distribution of a random variable. What proportion of the values in
the population does not lie between the two z-scores indicated on the diagram?
Z = -1.3
Z = 0.75
1 answer:
About 32.34% of the values do not lie between the z-scores of -1.3 and 0.75.
First, we need to find the region between the z-scores.
If you look at a normal distribution table, you will get the following values:
0.75 = 77.34%
-1.3 = 9.68%
Subtraction those gives us the area between the z-scores.
77.34 - 9.68 = 67.66%
Now, just subtract that value from 100% to get the amount outside of the area.
100 - 67.66 = 32.34%
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