Find the area under the standard normal distribution

Kofi Asiedu

Kofi Asiedu

Answered question

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

Answer & Explanation

Jazz Frenia

Jazz Frenia

Skilled2023-05-29Added 106 answers

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(Z<2.246)=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(Z>2.10)=1P(Z<2.10)=10.9821=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(1.50<Z<2.25)=P(Z<2.25)P(Z<1.50)=0.98780.9332=0.0546
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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