Given the information? below, estimate the probability that the noncritical path
ID: 422165 • Letter: G
Question
Given the information? below, estimate the probability that the noncritical path
B-F-Gwill take more than 20weeks. ?Hint: Subtract from 1.0 the probability that
B-F-Gwill take 20weeks or less. Refer to the standard normal table
????????????????????????????????????????????????????????????????????????????????????????????????????
Activity
Expected Time? (weeks)
Variance
A
4.04.0
1.00
B
5.05.0
0.96
C
3.53.5
0.25
D
11.511.5
2.07
E
6.06.0
2.10
F
9.09.0
2.55
G
5.05.0
0.49
The probability that this path will take more than 20weeks to complete is _.
(Enter your response rounded to four decimal places.?)
Activity
Expected Time? (weeks)
Variance
A
4.04.0
1.00
B
5.05.0
0.96
C
3.53.5
0.25
D
11.511.5
2.07
E
6.06.0
2.10
F
9.09.0
2.55
G
5.05.0
0.49
Explanation / Answer
total duration of path
B-F-G =5+9+5=19 weeks
expected time TE=19
variance
0.96+2.55+0.49=4
standard deviation s = sqrt(variance)=2
z=(TS-TE)/ s = ( 20-19)/2 =0.5
from table of z score
at z=0.5
P=0.3085
so the answer is Probability =0.3085
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.