Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > A continuous random variable, X is distribute...
Start Learning for Free
A continuous random variable, X is distributed in interval 0 – 10. The probability, P(x = 2) is ______
Correct answer is '0'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A continuous random variable, X is distributed in interval 0 – 1...
In case of continuous random variable probability at a point = 0
Most Upvoted Answer
A continuous random variable, X is distributed in interval 0 – 1...
1. The probability density function of X is given by:
f(x) = 2x (0 < x="" />< />
2. The cumulative distribution function of X is given by:
F(x) = x^2 (0 < x="" />< />
3. The expected value of X is given by:
E(X) = ∫0^1 x*f(x) dx = ∫0^1 2x^2 dx = 2/3
4. The variance of X is given by:
Var(X) = E(X^2) - [E(X)]^2
E(X^2) = ∫0^1 x^2*f(x) dx = ∫0^1 2x^3 dx = 1/2
Therefore, Var(X) = 1/2 - (2/3)^2 = 1/18
f(x) = 2x (0 < x="" />< />
2. The cumulative distribution function of X is given by:
F(x) = x^2 (0 < x="" />< />
3. The expected value of X is given by:
E(X) = ∫0^1 x*f(x) dx = ∫0^1 2x^2 dx = 2/3
4. The variance of X is given by:
Var(X) = E(X^2) - [E(X)]^2
E(X^2) = ∫0^1 x^2*f(x) dx = ∫0^1 2x^3 dx = 1/2
Therefore, Var(X) = 1/2 - (2/3)^2 = 1/18
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
A continuous random variable, X is distributed in interval 0 – 10. The probability, P(x = 2) is ______Correct answer is '0'. Can you explain this answer?
Question Description
A continuous random variable, X is distributed in interval 0 – 10. The probability, P(x = 2) is ______Correct answer is '0'. 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 A continuous random variable, X is distributed in interval 0 – 10. The probability, P(x = 2) is ______Correct answer is '0'. 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 A continuous random variable, X is distributed in interval 0 – 10. The probability, P(x = 2) is ______Correct answer is '0'. Can you explain this answer?.
A continuous random variable, X is distributed in interval 0 – 10. The probability, P(x = 2) is ______Correct answer is '0'. 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 A continuous random variable, X is distributed in interval 0 – 10. The probability, P(x = 2) is ______Correct answer is '0'. 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 A continuous random variable, X is distributed in interval 0 – 10. The probability, P(x = 2) is ______Correct answer is '0'. Can you explain this answer?.
Solutions for A continuous random variable, X is distributed in interval 0 – 10. The probability, P(x = 2) is ______Correct answer is '0'. 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 A continuous random variable, X is distributed in interval 0 – 10. The probability, P(x = 2) is ______Correct answer is '0'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A continuous random variable, X is distributed in interval 0 – 10. The probability, P(x = 2) is ______Correct answer is '0'. Can you explain this answer?, a detailed solution for A continuous random variable, X is distributed in interval 0 – 10. The probability, P(x = 2) is ______Correct answer is '0'. Can you explain this answer? has been provided alongside types of A continuous random variable, X is distributed in interval 0 – 10. The probability, P(x = 2) is ______Correct answer is '0'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A continuous random variable, X is distributed in interval 0 – 10. The probability, P(x = 2) is ______Correct answer is '0'. 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup