mallorytaylor279
13.02.2020 •
Mathematics
The activity completion time of each of the 5 critical activities of a project follows normal distribution. If the mean activity completion time of each activity is 2 weeks, and the standard deviation of the activity completion time of each of the critical activity is 10, then what is the probability that the project would take between 9 and 13 week?
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Ответ:
P(x = 9) and P(x = 13) is:
0.6551965
Step-by-step explanation:
By Z score,
,
P(x = 9 ) =
P(x =13) =
And these give:
P(x = 9) ==> P(Z = 0.7) = 0.7580363
P(x = 13) ==> P(Z = 1.1) = 0.8643339
Therefore, the probability that the project would take between 9 and 13 week = P(x = 9) * P(x =13) = 0.6551965.
For replication, see the R codes below:
Z1 = (9 - 2)/(10/sqrt(length(5)))
a = pnorm(Z1)
Z2 = (13 - 2)/(10/sqrt(length(5)))
b = pnorm(Z2)
a*b
Ответ: