For a normal variable X~ N( 54.8, 06.8), find the probability P(X < 52.7): P(X<52.7) (Round the answer to 4 decimal places) =
For a normal variable X~ N( 54.8, 06.8), find the probability P(X < 52.7): P(X<52.7) (Round the answer to 4 decimal places) =
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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#21 for a normal variable find the probability
![For a normal variable \(X \sim N(\mu = 54.8, \sigma = 6.8)\), find the probability \(P(X < 52.7)\):
\[P(X < 52.7) = \, \boxed{\phantom{answer}}\]
(Round the answer to 4 decimal places)
---
**Instructions:**
1. Understand the given probability distribution of the normal variable \(X\).
2. Calculate the probability that \(X\) is less than 52.7 using the provided mean (\(\mu\)) and standard deviation (\(\sigma\)).
3. Use a standard normal distribution table or software to find the result.
4. Enter your answer rounded to four decimal places.
**Note:**
This exercise helps in understanding how to find probabilities using the properties of a normal distribution, which is essential in statistical analysis and decision-making processes.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbff41f34-3f2d-4e6a-a819-5b9875dba15c%2F0c181336-5ff1-4910-9674-662c3654bad9%2Fd5pipa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For a normal variable \(X \sim N(\mu = 54.8, \sigma = 6.8)\), find the probability \(P(X < 52.7)\):
\[P(X < 52.7) = \, \boxed{\phantom{answer}}\]
(Round the answer to 4 decimal places)
---
**Instructions:**
1. Understand the given probability distribution of the normal variable \(X\).
2. Calculate the probability that \(X\) is less than 52.7 using the provided mean (\(\mu\)) and standard deviation (\(\sigma\)).
3. Use a standard normal distribution table or software to find the result.
4. Enter your answer rounded to four decimal places.
**Note:**
This exercise helps in understanding how to find probabilities using the properties of a normal distribution, which is essential in statistical analysis and decision-making processes.
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