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The mean and standard deviation of project completion time are 16 days and 2.44 respectively. The probability that the project would be completed with 15 days, will be Ops: A. 0.19 B. 0.34 C. 0.43 D. 0.66?
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The mean and standard deviation of project completion time are 16 days...
Probability Calculation for Project Completion Time
Given Information:
- Mean completion time = 16 days
- Standard deviation = 2.44 days
To find: Probability of completing the project in 15 days
Approach:
- Use the formula for z-score
- Convert the completion time of 15 days to z-score
- Use the z-table to find the probability
Calculation:
- The formula for z-score is: z = (x - μ) / σ
- where x is the completion time, μ is the mean completion time, and σ is the standard deviation
- Substituting the given values, we get: z = (15 - 16) / 2.44
- Simplifying, we get: z = -0.41
- Using the z-table, we find the probability of z-score being less than -0.41 as 0.34
- Therefore, the probability of completing the project in 15 days is 0.34 or 34%.
Answer:
The probability that the project would be completed within 15 days is 0.34 or 34%. Hence, the correct option is B. 0.34.
Given Information:
- Mean completion time = 16 days
- Standard deviation = 2.44 days
To find: Probability of completing the project in 15 days
Approach:
- Use the formula for z-score
- Convert the completion time of 15 days to z-score
- Use the z-table to find the probability
Calculation:
- The formula for z-score is: z = (x - μ) / σ
- where x is the completion time, μ is the mean completion time, and σ is the standard deviation
- Substituting the given values, we get: z = (15 - 16) / 2.44
- Simplifying, we get: z = -0.41
- Using the z-table, we find the probability of z-score being less than -0.41 as 0.34
- Therefore, the probability of completing the project in 15 days is 0.34 or 34%.
Answer:
The probability that the project would be completed within 15 days is 0.34 or 34%. Hence, the correct option is B. 0.34.
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The mean and standard deviation of project completion time are 16 days and 2.44 respectively. The probability that the project would be completed with 15 days, will be Ops: A. 0.19 B. 0.34 C. 0.43 D. 0.66?
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The mean and standard deviation of project completion time are 16 days and 2.44 respectively. The probability that the project would be completed with 15 days, will be Ops: A. 0.19 B. 0.34 C. 0.43 D. 0.66? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about The mean and standard deviation of project completion time are 16 days and 2.44 respectively. The probability that the project would be completed with 15 days, will be Ops: A. 0.19 B. 0.34 C. 0.43 D. 0.66? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mean and standard deviation of project completion time are 16 days and 2.44 respectively. The probability that the project would be completed with 15 days, will be Ops: A. 0.19 B. 0.34 C. 0.43 D. 0.66?.
The mean and standard deviation of project completion time are 16 days and 2.44 respectively. The probability that the project would be completed with 15 days, will be Ops: A. 0.19 B. 0.34 C. 0.43 D. 0.66? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about The mean and standard deviation of project completion time are 16 days and 2.44 respectively. The probability that the project would be completed with 15 days, will be Ops: A. 0.19 B. 0.34 C. 0.43 D. 0.66? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mean and standard deviation of project completion time are 16 days and 2.44 respectively. The probability that the project would be completed with 15 days, will be Ops: A. 0.19 B. 0.34 C. 0.43 D. 0.66?.
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