Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > The area (in percentage) under standard norma...
Start Learning for Free
The area (in percentage) under standard normal distribution curve of random variable Z within limits from −3 to +3 is _________.
Correct answer is '99.6'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The area (in percentage) under standard normal distribution curve of r...
A to b is given by:
$\displaystyle \frac{1}{\sqrt{2\pi}} \int_{a}^{b} e^{-\frac{x^2}{2}} dx$
This integral cannot be solved analytically, so it is usually approximated using numerical methods or tables. The tables provide the area under the curve for different values of Z, and we can use them to find the area between any two values of Z. For example, if we want to find the area between Z = -1.5 and Z = 2.2, we look up the values of the cumulative distribution function (CDF) for Z = -1.5 and Z = 2.2 in the standard normal distribution table and subtract them:
$P(-1.5 < z="" />< 2.2)="\Phi(2.2)" -="" />
where $\Phi(z)$ is the CDF of the standard normal distribution. We can also use software, such as Excel or R, to calculate the area under the curve for any given limits.
$\displaystyle \frac{1}{\sqrt{2\pi}} \int_{a}^{b} e^{-\frac{x^2}{2}} dx$
This integral cannot be solved analytically, so it is usually approximated using numerical methods or tables. The tables provide the area under the curve for different values of Z, and we can use them to find the area between any two values of Z. For example, if we want to find the area between Z = -1.5 and Z = 2.2, we look up the values of the cumulative distribution function (CDF) for Z = -1.5 and Z = 2.2 in the standard normal distribution table and subtract them:
$P(-1.5 < z="" />< 2.2)="\Phi(2.2)" -="" />
where $\Phi(z)$ is the CDF of the standard normal distribution. We can also use software, such as Excel or R, to calculate the area under the curve for any given limits.
Free Test
FREE
| Start Free Test |
Community Answer
The area (in percentage) under standard normal distribution curve of r...
A standard normal distribution has zero mean and unit variance. A standard normal curve has 99.7% area in limits −3 to +3:
A standard normal curve (as shown in figure) has 68% area in limits −1 to +1,95% area is limits −2 to +2 and 99.7% area is limits −3 to +3 is 99.6.
Hence, the correct answer is 99.6.
Attention Computer Science Engineering (CSE) Students!
To make sure you are not studying endlessly, EduRev has designed Computer Science Engineering (CSE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Computer Science Engineering (CSE).
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Similar Computer Science Engineering (CSE) Doubts
Top Courses for Computer Science Engineering (CSE)View all
The area (in percentage) under standard normal distribution curve of random variable Z within limits from −3 to +3 is _________.Correct answer is '99.6'. Can you explain this answer?
Question Description
The area (in percentage) under standard normal distribution curve of random variable Z within limits from −3 to +3 is _________.Correct answer is '99.6'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about The area (in percentage) under standard normal distribution curve of random variable Z within limits from −3 to +3 is _________.Correct answer is '99.6'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The area (in percentage) under standard normal distribution curve of random variable Z within limits from −3 to +3 is _________.Correct answer is '99.6'. Can you explain this answer?.
The area (in percentage) under standard normal distribution curve of random variable Z within limits from −3 to +3 is _________.Correct answer is '99.6'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about The area (in percentage) under standard normal distribution curve of random variable Z within limits from −3 to +3 is _________.Correct answer is '99.6'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The area (in percentage) under standard normal distribution curve of random variable Z within limits from −3 to +3 is _________.Correct answer is '99.6'. Can you explain this answer?.
Solutions for The area (in percentage) under standard normal distribution curve of random variable Z within limits from −3 to +3 is _________.Correct answer is '99.6'. Can you explain this answer? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE).
Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.
Here you can find the meaning of The area (in percentage) under standard normal distribution curve of random variable Z within limits from −3 to +3 is _________.Correct answer is '99.6'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The area (in percentage) under standard normal distribution curve of random variable Z within limits from −3 to +3 is _________.Correct answer is '99.6'. Can you explain this answer?, a detailed solution for The area (in percentage) under standard normal distribution curve of random variable Z within limits from −3 to +3 is _________.Correct answer is '99.6'. Can you explain this answer? has been provided alongside types of The area (in percentage) under standard normal distribution curve of random variable Z within limits from −3 to +3 is _________.Correct answer is '99.6'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The area (in percentage) under standard normal distribution curve of random variable Z within limits from −3 to +3 is _________.Correct answer is '99.6'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
|
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup