CA Foundation Exam > CA Foundation Questions > A random variable X takes three values -1,2,3...
Start Learning for Free
A random variable X takes three values -1,2,3 with the respective probabilities P(-1)= 1/3, P(2)=1/3, P(3)=1/3, then E (|X|) is?
Most Upvoted Answer
A random variable X takes three values -1,2,3 with the respective prob...
Solution:
Expected Value of Absolute Random Variable
The expected value of the absolute value of a random variable is defined as the sum of the products of the absolute values of the possible outcomes and their probabilities.
E(|X|) = Σ|x|P(x)
Where x is the value of the random variable and P(x) is the probability of that value.
Calculating E(|X|) for Given Probability Distribution
Given probability distribution:
P(-1) = 1/3
P(2) = 1/3
P(3) = 1/3
Using the formula for expected value of absolute random variable, we get:
E(|X|) = Σ|x|P(x)
E(|X|) = |-1|*1/3 + |2|*1/3 + |3|*1/3
E(|X|) = (1/3) + (2/3) + (1)
E(|X|) = 4/3
Therefore, the expected value of absolute random variable is 4/3.
Conclusion:
The expected value of absolute random variable is 4/3 for the given probability distribution.
Expected Value of Absolute Random Variable
The expected value of the absolute value of a random variable is defined as the sum of the products of the absolute values of the possible outcomes and their probabilities.
E(|X|) = Σ|x|P(x)
Where x is the value of the random variable and P(x) is the probability of that value.
Calculating E(|X|) for Given Probability Distribution
Given probability distribution:
P(-1) = 1/3
P(2) = 1/3
P(3) = 1/3
Using the formula for expected value of absolute random variable, we get:
E(|X|) = Σ|x|P(x)
E(|X|) = |-1|*1/3 + |2|*1/3 + |3|*1/3
E(|X|) = (1/3) + (2/3) + (1)
E(|X|) = 4/3
Therefore, the expected value of absolute random variable is 4/3.
Conclusion:
The expected value of absolute random variable is 4/3 for the given probability distribution.
Attention CA Foundation Students!
To make sure you are not studying endlessly, EduRev has designed CA Foundation study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CA Foundation.
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
A random variable X takes three values -1,2,3 with the respective probabilities P(-1)= 1/3, P(2)=1/3, P(3)=1/3, then E (|X|) is?
Question Description
A random variable X takes three values -1,2,3 with the respective probabilities P(-1)= 1/3, P(2)=1/3, P(3)=1/3, then E (|X|) is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A random variable X takes three values -1,2,3 with the respective probabilities P(-1)= 1/3, P(2)=1/3, P(3)=1/3, then E (|X|) is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A random variable X takes three values -1,2,3 with the respective probabilities P(-1)= 1/3, P(2)=1/3, P(3)=1/3, then E (|X|) is?.
A random variable X takes three values -1,2,3 with the respective probabilities P(-1)= 1/3, P(2)=1/3, P(3)=1/3, then E (|X|) is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A random variable X takes three values -1,2,3 with the respective probabilities P(-1)= 1/3, P(2)=1/3, P(3)=1/3, then E (|X|) is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A random variable X takes three values -1,2,3 with the respective probabilities P(-1)= 1/3, P(2)=1/3, P(3)=1/3, then E (|X|) is?.
Solutions for A random variable X takes three values -1,2,3 with the respective probabilities P(-1)= 1/3, P(2)=1/3, P(3)=1/3, then E (|X|) is? in English & in Hindi are available as part of our courses for CA Foundation.
Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of A random variable X takes three values -1,2,3 with the respective probabilities P(-1)= 1/3, P(2)=1/3, P(3)=1/3, then E (|X|) is? defined & explained in the simplest way possible. Besides giving the explanation of
A random variable X takes three values -1,2,3 with the respective probabilities P(-1)= 1/3, P(2)=1/3, P(3)=1/3, then E (|X|) is?, a detailed solution for A random variable X takes three values -1,2,3 with the respective probabilities P(-1)= 1/3, P(2)=1/3, P(3)=1/3, then E (|X|) is? has been provided alongside types of A random variable X takes three values -1,2,3 with the respective probabilities P(-1)= 1/3, P(2)=1/3, P(3)=1/3, then E (|X|) is? theory, EduRev gives you an
ample number of questions to practice A random variable X takes three values -1,2,3 with the respective probabilities P(-1)= 1/3, P(2)=1/3, P(3)=1/3, then E (|X|) is? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation 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