## 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?

in progress
0

Math
3 weeks
2021-12-30T21:45:09+00:00
2021-12-30T21:45:09+00:00 1 Answer
0 views
0
## Answers ( )

Answer:P(x = 9) and P(x = 13) is:

0.6551965Step-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