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Roro7522
31.03.2020 •
Mathematics
A project has a mean completion time of 54 weeks and a standard deviation of the project completion time of 2.95 weeks. What is the probability of completing the project within 52 weeks? Please put your answer in terms of a probability (i.e. a number between 0 and 1), and not a percentage.
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Ответ:
0.2483
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What is the probability of completing the project within 52 weeks?
This is the pvalue of Z when X = 52.
So the answer is 0.2483
Ответ:
30%
Step-by-step explanation:
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