CA Foundation Exam > CA Foundation Questions > If a random variable x assumes the values 0, ...
Start Learning for Free
If a random variable x assumes the values 0, 1 and 2 with probabilities 0.30, 0.50 and 0.20, then its expected value is
- a)1.50
- b)3
- c)0.90
- d)1
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
If a random variable x assumes the values 0, 1 and 2 with probabilitie...
Expected Value of a Random Variable:
The expected value of a random variable is the sum of the product of each possible value of the variable and its probability.
Formula:
E(X) = Σ(x × P(X=x))
where E(X) is the expected value of the random variable X, x is the possible value of X, and P(X=x) is the probability that X takes the value x.
Solution:
Given, a random variable x assumes the values 0, 1, and 2 with probabilities 0.30, 0.50, and 0.20 respectively.
Using the formula of expected value, we have
E(X) = Σ(x × P(X=x))
= 0 × 0.30 + 1 × 0.50 + 2 × 0.20
= 0 + 0.50 + 0.40
= 0.90
Therefore, the expected value of the random variable X is 0.90.
Hence, option (c) is the correct answer.
The expected value of a random variable is the sum of the product of each possible value of the variable and its probability.
Formula:
E(X) = Σ(x × P(X=x))
where E(X) is the expected value of the random variable X, x is the possible value of X, and P(X=x) is the probability that X takes the value x.
Solution:
Given, a random variable x assumes the values 0, 1, and 2 with probabilities 0.30, 0.50, and 0.20 respectively.
Using the formula of expected value, we have
E(X) = Σ(x × P(X=x))
= 0 × 0.30 + 1 × 0.50 + 2 × 0.20
= 0 + 0.50 + 0.40
= 0.90
Therefore, the expected value of the random variable X is 0.90.
Hence, option (c) is the correct answer.
Free Test
| FREE | Start Free Test |
Community Answer
If a random variable x assumes the values 0, 1 and 2 with probabilitie...
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
If a random variable x assumes the values 0, 1 and 2 with probabilities 0.30, 0.50 and 0.20, then its expected value isa)1.50b)3c)0.90d)1Correct answer is option 'C'. Can you explain this answer?
Question Description
If a random variable x assumes the values 0, 1 and 2 with probabilities 0.30, 0.50 and 0.20, then its expected value isa)1.50b)3c)0.90d)1Correct answer is option 'C'. Can you explain this answer? 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 If a random variable x assumes the values 0, 1 and 2 with probabilities 0.30, 0.50 and 0.20, then its expected value isa)1.50b)3c)0.90d)1Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a random variable x assumes the values 0, 1 and 2 with probabilities 0.30, 0.50 and 0.20, then its expected value isa)1.50b)3c)0.90d)1Correct answer is option 'C'. Can you explain this answer?.
If a random variable x assumes the values 0, 1 and 2 with probabilities 0.30, 0.50 and 0.20, then its expected value isa)1.50b)3c)0.90d)1Correct answer is option 'C'. Can you explain this answer? 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 If a random variable x assumes the values 0, 1 and 2 with probabilities 0.30, 0.50 and 0.20, then its expected value isa)1.50b)3c)0.90d)1Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a random variable x assumes the values 0, 1 and 2 with probabilities 0.30, 0.50 and 0.20, then its expected value isa)1.50b)3c)0.90d)1Correct answer is option 'C'. Can you explain this answer?.
Solutions for If a random variable x assumes the values 0, 1 and 2 with probabilities 0.30, 0.50 and 0.20, then its expected value isa)1.50b)3c)0.90d)1Correct answer is option 'C'. Can you explain this answer? 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 If a random variable x assumes the values 0, 1 and 2 with probabilities 0.30, 0.50 and 0.20, then its expected value isa)1.50b)3c)0.90d)1Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If a random variable x assumes the values 0, 1 and 2 with probabilities 0.30, 0.50 and 0.20, then its expected value isa)1.50b)3c)0.90d)1Correct answer is option 'C'. Can you explain this answer?, a detailed solution for If a random variable x assumes the values 0, 1 and 2 with probabilities 0.30, 0.50 and 0.20, then its expected value isa)1.50b)3c)0.90d)1Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of If a random variable x assumes the values 0, 1 and 2 with probabilities 0.30, 0.50 and 0.20, then its expected value isa)1.50b)3c)0.90d)1Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If a random variable x assumes the values 0, 1 and 2 with probabilities 0.30, 0.50 and 0.20, then its expected value isa)1.50b)3c)0.90d)1Correct answer is option 'C'. Can you explain this answer? 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup