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Persons D, E, and F prepare 80, 110, and 100 statements, respectively.
The probability that at least one error is made by D is 0.2, by E is 0.5, and by F is 0.7.
Calculate the expected number of correct statements.?
The probability that at least one error is made by D is 0.2, by E is 0.5, and by F is 0.7.
Calculate the expected number of correct statements.?
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Persons D, E, and F prepare 80, 110, and 100 statements, respectively....
Calculating the Expected Number of Correct Statements
Expectation is a mathematical concept that quantifies the average value of a random variable. In this case, we want to calculate the expected number of correct statements made by persons D, E, and F.
Individual Error Probabilities
- Person D has a probability of 0.2 of making an error.
- Person E has a probability of 0.5 of making an error.
- Person F has a probability of 0.7 of making an error.
Calculating the Expected Number of Correct Statements
To calculate the expected number of correct statements, we first need to find the probability of each person making no errors.
- The probability of D making no errors = 1 - 0.2 = 0.8
- The probability of E making no errors = 1 - 0.5 = 0.5
- The probability of F making no errors = 1 - 0.7 = 0.3
Now, we can calculate the expected number of correct statements for each person.
- Expected number of correct statements by D = 0.8 * 80 = 64
- Expected number of correct statements by E = 0.5 * 110 = 55
- Expected number of correct statements by F = 0.3 * 100 = 30
Finally, we can find the total expected number of correct statements by adding the individual expected values.
Total expected number of correct statements = 64 + 55 + 30 = 149
Therefore, the expected number of correct statements among the 3 persons is 149.
Expectation is a mathematical concept that quantifies the average value of a random variable. In this case, we want to calculate the expected number of correct statements made by persons D, E, and F.
Individual Error Probabilities
- Person D has a probability of 0.2 of making an error.
- Person E has a probability of 0.5 of making an error.
- Person F has a probability of 0.7 of making an error.
Calculating the Expected Number of Correct Statements
To calculate the expected number of correct statements, we first need to find the probability of each person making no errors.
- The probability of D making no errors = 1 - 0.2 = 0.8
- The probability of E making no errors = 1 - 0.5 = 0.5
- The probability of F making no errors = 1 - 0.7 = 0.3
Now, we can calculate the expected number of correct statements for each person.
- Expected number of correct statements by D = 0.8 * 80 = 64
- Expected number of correct statements by E = 0.5 * 110 = 55
- Expected number of correct statements by F = 0.3 * 100 = 30
Finally, we can find the total expected number of correct statements by adding the individual expected values.
Total expected number of correct statements = 64 + 55 + 30 = 149
Therefore, the expected number of correct statements among the 3 persons is 149.
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Persons D, E, and F prepare 80, 110, and 100 statements, respectively.The probability that at least one error is made by D is 0.2, by E is 0.5, and by F is 0.7.Calculate the expected number of correct statements.?
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Persons D, E, and F prepare 80, 110, and 100 statements, respectively.The probability that at least one error is made by D is 0.2, by E is 0.5, and by F is 0.7.Calculate the expected number of correct statements.? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Persons D, E, and F prepare 80, 110, and 100 statements, respectively.The probability that at least one error is made by D is 0.2, by E is 0.5, and by F is 0.7.Calculate the expected number of correct statements.? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Persons D, E, and F prepare 80, 110, and 100 statements, respectively.The probability that at least one error is made by D is 0.2, by E is 0.5, and by F is 0.7.Calculate the expected number of correct statements.?.
Persons D, E, and F prepare 80, 110, and 100 statements, respectively.The probability that at least one error is made by D is 0.2, by E is 0.5, and by F is 0.7.Calculate the expected number of correct statements.? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Persons D, E, and F prepare 80, 110, and 100 statements, respectively.The probability that at least one error is made by D is 0.2, by E is 0.5, and by F is 0.7.Calculate the expected number of correct statements.? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Persons D, E, and F prepare 80, 110, and 100 statements, respectively.The probability that at least one error is made by D is 0.2, by E is 0.5, and by F is 0.7.Calculate the expected number of correct statements.?.
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