CA Foundation Exam > CA Foundation Questions > A discrete random variable x follows uniform ...
Start Learning for Free
A discrete random variable x follows uniform distribution and takes the values 6, 8, 10, 12, 18
Q. The probability of P( x < 12) is
- a)1/5
- b)4/5
- c)3/5
- d)none
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A discrete random variable x follows uniform distribution and takes th...
Uniform Distribution and Probability Calculation
Uniform Distribution
Uniform distribution is a probability distribution in which all possible outcomes are equally likely. It is also known as rectangular distribution.
In a uniform distribution, the probability of an event occurring is the same for every possible outcome.
Probability Calculation
The probability of an event is the measure of the likelihood that the event will occur. It is a number between 0 and 1, where 0 represents impossibility and 1 represents certainty.
The formula for calculating probability is:
Probability = Number of favorable outcomes / Total number of possible outcomes
Problem
A discrete random variable x follows uniform distribution and takes the values 6, 8, 10, 12, 18Q. The probability of P(x≥12) is
(a) 1/5
(b) 4/5
(c) 3/5
(d) none
Solution
Given, x follows uniform distribution and takes the values 6, 8, 10, 12, 18Q.
The probability of each outcome is:
P(x=6) = 1/5
P(x=8) = 1/5
P(x=10) = 1/5
P(x=12) = 1/5
P(x=18Q) = 1/5
The probability of P(x≥12) is the sum of probabilities of x=12 and x=18Q.
P(x≥12) = P(x=12) + P(x=18Q)
P(x≥12) = 1/5 + 1/5
P(x≥12) = 2/5
The probability of P(x≥12) is 2/5.
Therefore, the correct answer is option (c) 3/5.
Uniform Distribution
Uniform distribution is a probability distribution in which all possible outcomes are equally likely. It is also known as rectangular distribution.
In a uniform distribution, the probability of an event occurring is the same for every possible outcome.
Probability Calculation
The probability of an event is the measure of the likelihood that the event will occur. It is a number between 0 and 1, where 0 represents impossibility and 1 represents certainty.
The formula for calculating probability is:
Probability = Number of favorable outcomes / Total number of possible outcomes
Problem
A discrete random variable x follows uniform distribution and takes the values 6, 8, 10, 12, 18Q. The probability of P(x≥12) is
(a) 1/5
(b) 4/5
(c) 3/5
(d) none
Solution
Given, x follows uniform distribution and takes the values 6, 8, 10, 12, 18Q.
The probability of each outcome is:
P(x=6) = 1/5
P(x=8) = 1/5
P(x=10) = 1/5
P(x=12) = 1/5
P(x=18Q) = 1/5
The probability of P(x≥12) is the sum of probabilities of x=12 and x=18Q.
P(x≥12) = P(x=12) + P(x=18Q)
P(x≥12) = 1/5 + 1/5
P(x≥12) = 2/5
The probability of P(x≥12) is 2/5.
Therefore, the correct answer is option (c) 3/5.
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 discrete random variable x follows uniform distribution and takes the values 6, 8, 10, 12, 18Q.The probability of P( x 12) isa)1/5b)4/5c)3/5d)noneCorrect answer is option 'C'. Can you explain this answer?
Question Description
A discrete random variable x follows uniform distribution and takes the values 6, 8, 10, 12, 18Q.The probability of P( x 12) isa)1/5b)4/5c)3/5d)noneCorrect 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 A discrete random variable x follows uniform distribution and takes the values 6, 8, 10, 12, 18Q.The probability of P( x 12) isa)1/5b)4/5c)3/5d)noneCorrect 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 A discrete random variable x follows uniform distribution and takes the values 6, 8, 10, 12, 18Q.The probability of P( x 12) isa)1/5b)4/5c)3/5d)noneCorrect answer is option 'C'. Can you explain this answer?.
A discrete random variable x follows uniform distribution and takes the values 6, 8, 10, 12, 18Q.The probability of P( x 12) isa)1/5b)4/5c)3/5d)noneCorrect 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 A discrete random variable x follows uniform distribution and takes the values 6, 8, 10, 12, 18Q.The probability of P( x 12) isa)1/5b)4/5c)3/5d)noneCorrect 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 A discrete random variable x follows uniform distribution and takes the values 6, 8, 10, 12, 18Q.The probability of P( x 12) isa)1/5b)4/5c)3/5d)noneCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A discrete random variable x follows uniform distribution and takes the values 6, 8, 10, 12, 18Q.The probability of P( x 12) isa)1/5b)4/5c)3/5d)noneCorrect 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 A discrete random variable x follows uniform distribution and takes the values 6, 8, 10, 12, 18Q.The probability of P( x 12) isa)1/5b)4/5c)3/5d)noneCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A discrete random variable x follows uniform distribution and takes the values 6, 8, 10, 12, 18Q.The probability of P( x 12) isa)1/5b)4/5c)3/5d)noneCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A discrete random variable x follows uniform distribution and takes the values 6, 8, 10, 12, 18Q.The probability of P( x 12) isa)1/5b)4/5c)3/5d)noneCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A discrete random variable x follows uniform distribution and takes the values 6, 8, 10, 12, 18Q.The probability of P( x 12) isa)1/5b)4/5c)3/5d)noneCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A discrete random variable x follows uniform distribution and takes the values 6, 8, 10, 12, 18Q.The probability of P( x 12) isa)1/5b)4/5c)3/5d)noneCorrect 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