Kofi Asiedu

2022-07-31

Find the area under the standard normal distribution by shading the direction of the following z- scores

1. To the left of z=2.246

2. To the right of z=2.10

Between z=1.50 and z=2.25

Jazz Frenia

To find the area under the standard normal distribution curve corresponding to specific z-scores, we can use the standard normal distribution table or a statistical software.
1. To find the area to the left of z = 2.246, we need to find the cumulative probability up to that z-score:
$P\left(Z<2.246\right)=0.9879$
2. To find the area to the right of z = 2.10, we can find the cumulative probability up to that z-score and then subtract it from 1:
$P\left(Z>2.10\right)=1-P\left(Z<2.10\right)=1-0.9821=0.0179$
3. To find the area between z = 1.50 and z = 2.25, we need to find the difference between the cumulative probabilities up to these two z-scores:
$P\left(1.50
Therefore, the areas under the standard normal distribution curve are:
1. To the left of z = 2.246: 0.9879
2. To the right of z = 2.10: 0.0179
3. Between z = 1.50 and z = 2.25: 0.0546

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