Pregunta
Find the area under the standard normal distribution curve between
and
. Use 0 The Standard Normal Distribution Table. Round your answer to at
least 4 decimal places.
least 4 decimal places.
Ask by Moran Hodges. in the United States
Mar 22,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The area under the standard normal curve between
and
is 0.0000.
Solución
The area under the standard normal curve between
and
is computed by finding the difference between the cumulative probabilities at the two endpoints.
-
For
, the cumulative distribution function is: -
The area between
and is:
Rounded to four decimal places, the area is:
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Como
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Beyond the Answer
Interestingly, the area under the standard normal distribution curve between
and
is exactly zero. Why? Because you’re essentially looking at a line segment with no width, which means there’s no area to capture!
In real-world applications, the standard normal distribution is often used to determine probabilities and assess how data falls around the mean. Areas under the curve help us understand the likelihood of different outcomes. For example, if you were analyzing test scores, you can find the likelihood that a randomly chosen score falls within a certain range.

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