ou may need to use the appropriate technology to answer this question.

Arden, a staff analyst at the Los Angeles plant of Computer Products Corporation, is assigned to the team that is developing the process design for producing an RFID sensor. The corporate planning group in San Jose, California, has contacted them and asked how confident the design group is about completing the project in 60 days. They have developed the estimated time durations in days for the project as shown in the following table.

Activity	Immediate Predecessor Activities	Optimistic Time (to)	Most Likely Time (tm)	Pessimistic Time (tp)
A		9	11	14
B	A	5	9	13
C	A	9	14	19
D	A	8	8	17
E	B	4	5	7
F	C, E	9	11	12
G	B	11	13	15
H	B, D	17	20	23
I	B, D	9	14	19
J	F, G, H	7	9	13

(a)

Compute the expected time and variance for each activity. (Round your expected time to two decimal places and your variance to four decimal places.)

Activity	Activity Expected Time (days)	Activity Variance
A
B
C
D
E
F
G
H
I
J

(b)

Determine the critical path of the project. (Enter your answers as a comma-separated list.)

Determine the expected duration (in days) of the project. (Round your answer to two decimal places.)

days

(c)

Based only on the critical path, what is the probability that the project will take longer than 54 days to complete? (Round your answer to four decimal places.)

(d)

Which path in the project network offers the greatest risk of overrunning a new deadline of 52 days? (Enter your answers as a comma-separated list.)