Question
Find the area under the standard normal distribution ourve to the right of
decimal places.
The area to the night of the
decimal places.
The area to the night of the
Ask by Weston Little. in the United States
Mar 22,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The area to the right of
Solution
To find the area under the standard normal distribution curve to the right of
-
Look up the value of
in the standard normal distribution table. This table provides the area to the left of a given value. -
Calculate the area to the right by subtracting the area to the left from 1.
Let’s first find the area to the left of
Using the standard normal distribution table, the area to the left of
Now, we can calculate the area to the right:
Substituting the values:
Now, let’s calculate this value.
Calculate the value by following steps:
Calculate the value by following steps:
- step0: Calculate:
- step1: Subtract the numbers:
The area to the right ofis approximately when rounded to four decimal places.
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The area to the right of
So, the area to the right of
When working with the standard normal distribution, it’s important to remember that it represents probabilities. A quick tip is to always check that you’re looking for the right portion of the curve—left or right—before diving into calculations. Common mistakes happen if one forgets to differentiate between cumulative areas (left) and area to the right of a Z value.
