GATE CE 2017 Set 2 — Question 18
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Engineering Mathematics → Construction Management → Normal Distribution
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Question
For a construction project, the mean and standard deviation of the completion time are 200 days and 6.1 days, respectively. Assume normal distribution and use the value of standard normal deviate for the 95% confidence level. The maximum time required (in days) for the completion of the project would be ______________
Correct answer
209 to 219
Solution
For a normal distribution, the maximum time required for a specific confidence level is given by the formula:Where:
- (mean) = 200 days
- (standard deviation) = 6.1 days
- (standard normal deviate for 95% confidence) = 1.64
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