The activity completion time of each of the 5 critical activities of a project follows normal distribution. If the mean activity completion

Question

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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3 weeks 2021-12-30T21:45:09+00:00 1 Answer 0 views 0

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