Consider the activities for Project shown in the (partially incomplete) table below, along with expected times and variances of times. Assume time is measured in hours.

ACTIVITY	EXPECTED TIME	VARIANCE OF TIME
A	4	0.11
B	11	1.82
C
D	12	2.01
E	7	0.44
F	3	0.11
G	9	0.67
H	6	1.21

(A) Suppose the probability distribution for Activity C follows a beta distribution and the the most likely, pessimistic, and optimistic times for the activity are 3.5, 9, and 1.5 hours respectively. Find the expected time and variance for Activity C: (i) The expected time for activity C is hours. (Give 2 decimals.) (ii) The variance of activity C time is . (Give 2 decimals.)

(B) Suppose this project has a single critical path (based on precedence relationships not shown here) and the critical path is B-D-E-G-H. (i) Describe the probability distribution for the total project time. (Tell the center, shape, and spread.) (ii) Find the probability that the project will be completed no later than 50 hours. (Give answer to the nearest percent.) (iii) Suggest a due date that gives the project a 10% risk of being completed late. hours. (Give answer to one decimal.)