Question
Determine the area under the standard normal curve that lies to the right of
(d)
(a) The area to the right of
(Round to four decimal places as needed.)
(d)
(a) The area to the right of
(Round to four decimal places as needed.)
Ask by Rose Ortega. in the United States
Mar 17,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The area to the right of
Solution
-
Compute the cumulative probability for
, denoted as . Standard normal tables or a calculator give approximately -
The area to the right of
is
Thus, the area to the right of
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Simplify this solution The Deep Dive
To find the area under the standard normal curve to the right of a given Z value, you typically look up the Z value in a standard normal distribution table or use a calculator that provides cumulative distribution function (CDF) values. The cumulative area to the left of the Z value can be subtracted from 1 to find the area to the right.
Let’s calculate those areas:
(a) For
- The cumulative area to the left is approximately 0.9484.
- Therefore, the area to the right is
.
(b) For
- The cumulative area to the left is approximately 0.8708.
- Hence, the area to the right is
.
© For
- The cumulative area to the left is approximately 0.2206.
- Thus, the area to the right is
.
(d) For
- The cumulative area to the left is approximately 0.5438.
- Consequently, the area to the right is
.
Now to summarize the answers:
(a) The area to the right of
(b) The area to the right of
© The area to the right of
(d) The area to the right of
(a) The area to the right of
(b) The area to the right of
© The area to the right of
(d) The area to the right of
