Let Z be a standard normal random variable and calculate the following probabilities, indicating the regions under the standard normal curve

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Let Z be a standard normal random variable and calculate the following probabilities, indicating the regions under the standard normal curve?

a) $P(0 < Z < 2.17)$

b) $P(-2.50 < Z < 2.50)$

So I used the Normal Distribution Calculator to obtain:

$P(0 < Z < 2.17) = 0.98500 - 0.50000 = 0.485$

Similarly I got for b):

$P(-2.50 < Z < 2.50) = 0.99379 - 0.00621 = 0.98758$

I'm really not sure how to "indicate the region though"

I tried looking at this table Standard Normal Distribution Table

Yet I am not really sure how to use it..Looking at the table would that mean that the region my answer $0.485$ would be in is $8$%?

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2 Answers

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The first plot should look like this:

Now can you draw the second one?

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You are expected to find or make a curve like you find by searching "standard normal distribution". Your $Z$ is the horizontal coordinate. Then color in the range of $Z$ called out in each part of the question.

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