CA Foundation Exam > CA Foundation Questions > The probability that there is at least one er...
Start Learning for Free
The probability that there is at least one error in an account statement prepared by 3 persons a b c are 0.2 , 0.3 and 0.1 respectively if A and B and C prepare 60 70 90 such statement then Expected number of correct statement?
Verified Answer
The probability that there is at least one error in an account stateme...
1)4*3/10 = 1.2
2)(60*0.8)+(70*0.7)+(90*0.9)=178
3) {(0.6+0.56)*20 + (0.6+0.44)*30 + (0.4+0.33)*40 + (0.4+0.67)*30} / 4
=(23.2 + 31.2 + 29.2 + 32.1) / 4
=28.9
2)(60*0.8)+(70*0.7)+(90*0.9)=178
3) {(0.6+0.56)*20 + (0.6+0.44)*30 + (0.4+0.33)*40 + (0.4+0.67)*30} / 4
=(23.2 + 31.2 + 29.2 + 32.1) / 4
=28.9
This question is part of UPSC exam. View all CA Foundation courses
Most Upvoted Answer
The probability that there is at least one error in an account stateme...
Expected Number of Correct Statements
To find the expected number of correct statements, we need to calculate the probability of each person making an error and use it to calculate the expected number of correct statements for each person.
Probability of Error for each person:
- Person A: The probability of A making an error is 0.2.
- Person B: The probability of B making an error is 0.3.
- Person C: The probability of C making an error is 0.1.
Expected Number of Correct Statements for each person:
- Person A: The expected number of correct statements for person A can be calculated by subtracting the probability of error (0.2) from 1 and then multiplying it by the total number of statements prepared by A (60).
Expected number of correct statements for A = (1 - 0.2) * 60 = 0.8 * 60 = 48.
- Person B: The expected number of correct statements for person B can be calculated in the same way.
Expected number of correct statements for B = (1 - 0.3) * 70 = 0.7 * 70 = 49.
- Person C: The expected number of correct statements for person C can be calculated in the same way.
Expected number of correct statements for C = (1 - 0.1) * 90 = 0.9 * 90 = 81.
Total Expected Number of Correct Statements:
To find the total expected number of correct statements, we need to sum up the expected number of correct statements for each person.
Total expected number of correct statements = Expected number of correct statements for A + Expected number of correct statements for B + Expected number of correct statements for C
Total expected number of correct statements = 48 + 49 + 81 = 178.
Therefore, the expected number of correct statements is 178.
To find the expected number of correct statements, we need to calculate the probability of each person making an error and use it to calculate the expected number of correct statements for each person.
Probability of Error for each person:
- Person A: The probability of A making an error is 0.2.
- Person B: The probability of B making an error is 0.3.
- Person C: The probability of C making an error is 0.1.
Expected Number of Correct Statements for each person:
- Person A: The expected number of correct statements for person A can be calculated by subtracting the probability of error (0.2) from 1 and then multiplying it by the total number of statements prepared by A (60).
Expected number of correct statements for A = (1 - 0.2) * 60 = 0.8 * 60 = 48.
- Person B: The expected number of correct statements for person B can be calculated in the same way.
Expected number of correct statements for B = (1 - 0.3) * 70 = 0.7 * 70 = 49.
- Person C: The expected number of correct statements for person C can be calculated in the same way.
Expected number of correct statements for C = (1 - 0.1) * 90 = 0.9 * 90 = 81.
Total Expected Number of Correct Statements:
To find the total expected number of correct statements, we need to sum up the expected number of correct statements for each person.
Total expected number of correct statements = Expected number of correct statements for A + Expected number of correct statements for B + Expected number of correct statements for C
Total expected number of correct statements = 48 + 49 + 81 = 178.
Therefore, the expected number of correct statements is 178.
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
|
|
Top Courses for CA FoundationView all
The probability that there is at least one error in an account statement prepared by 3 persons a b c are 0.2 , 0.3 and 0.1 respectively if A and B and C prepare 60 70 90 such statement then Expected number of correct statement?
Question Description
The probability that there is at least one error in an account statement prepared by 3 persons a b c are 0.2 , 0.3 and 0.1 respectively if A and B and C prepare 60 70 90 such statement then Expected number of correct statement? 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 The probability that there is at least one error in an account statement prepared by 3 persons a b c are 0.2 , 0.3 and 0.1 respectively if A and B and C prepare 60 70 90 such statement then Expected number of correct statement? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The probability that there is at least one error in an account statement prepared by 3 persons a b c are 0.2 , 0.3 and 0.1 respectively if A and B and C prepare 60 70 90 such statement then Expected number of correct statement?.
The probability that there is at least one error in an account statement prepared by 3 persons a b c are 0.2 , 0.3 and 0.1 respectively if A and B and C prepare 60 70 90 such statement then Expected number of correct statement? 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 The probability that there is at least one error in an account statement prepared by 3 persons a b c are 0.2 , 0.3 and 0.1 respectively if A and B and C prepare 60 70 90 such statement then Expected number of correct statement? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The probability that there is at least one error in an account statement prepared by 3 persons a b c are 0.2 , 0.3 and 0.1 respectively if A and B and C prepare 60 70 90 such statement then Expected number of correct statement?.
Solutions for The probability that there is at least one error in an account statement prepared by 3 persons a b c are 0.2 , 0.3 and 0.1 respectively if A and B and C prepare 60 70 90 such statement then Expected number of correct statement? 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 The probability that there is at least one error in an account statement prepared by 3 persons a b c are 0.2 , 0.3 and 0.1 respectively if A and B and C prepare 60 70 90 such statement then Expected number of correct statement? defined & explained in the simplest way possible. Besides giving the explanation of
The probability that there is at least one error in an account statement prepared by 3 persons a b c are 0.2 , 0.3 and 0.1 respectively if A and B and C prepare 60 70 90 such statement then Expected number of correct statement?, a detailed solution for The probability that there is at least one error in an account statement prepared by 3 persons a b c are 0.2 , 0.3 and 0.1 respectively if A and B and C prepare 60 70 90 such statement then Expected number of correct statement? has been provided alongside types of The probability that there is at least one error in an account statement prepared by 3 persons a b c are 0.2 , 0.3 and 0.1 respectively if A and B and C prepare 60 70 90 such statement then Expected number of correct statement? theory, EduRev gives you an
ample number of questions to practice The probability that there is at least one error in an account statement prepared by 3 persons a b c are 0.2 , 0.3 and 0.1 respectively if A and B and C prepare 60 70 90 such statement then Expected number of correct statement? 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