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aivan3 [116]
3 years ago
7

You have just used the network planning model and found the critical path length is 30 days and the variance of the critical pat

h is 25 days. The probability that the project will be completed in 33 days or less is equal to ______. (2 decimal accuracy)

Mathematics
2 answers:
ollegr [7]3 years ago
6 0

Answer: The probability that the project will be completed in 33 days or less is equal to<u> </u><u>0.73</u> .

Step-by-step explanation:

We assume that this is a normally distribution.

Given : The critical path length is 30 days .

i.e. Population mean = \mu=30

Variance : \sigma^2=25

Then, standard deviation : \sigma=\sqrt{25}=5

Z-score :  z=\dfrac{x-\mu}{\sigma}

The value of z corresponding to 33 = z=\dfrac{33-30}{5}=0.6

Now, the p-value = P(x\leq33)=P(z\leq0.6)=0.7257469\approx0.73

Hence, the probability that the project will be completed in 33 days or less is equal to 0.73.

mars1129 [50]3 years ago
4 0

Answer:

0.73

Step-by-step explanation:

A Z-score is a statistical measurement that defines the relationship between a  value and the mean of a group, given the standard deviations from the mean. If a Z score is 0, it implies that that the value being measured is identical to the mean score. A Z-score of 2.0 indicate that  the value being measured is two standard deviation away from the group mean.

Standard deviation = √variance = √25

=5 days

Z value that  corresponding to the possibility of completing the project in 33 days  or less is

Z=(33-30)/5 = 3/5 = 0.6

probability that the project will be completed in 33 days or less = P(Z ≤ 0.6)

from Z table

P(Z ≤ 0.6) = 0.72575 ≈ 0.73  (2 decimal accuracy)

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