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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.
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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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