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1.
The new director of special events at a large university has decided to completely revamp graduation ceremonies. Toward that end, a PERT chart of the major activities has been developed. The chart has five paths with expected completion times and variances as shown in the table. Graduation day is 16 weeks from now. 
Use Table B and Table B1. 
Path  Expected Duration (weeks) 
Variance 
A  10  1.21 
B  8  2.00 
C  12  1.00 
D  15  2.89 
E  14  1.44 

Assuming the project begins now, what is the probability that the project will be completed before: (Round your zvalue to 2 decimal places and all intermediate probabilities to 4 decimal places. Round your final answers to 4 decimal places.) 
a.  Graduation time? 
Probability for graduation time 
because the probability of finishing on schedule is only about [removed]. 
b. 
If there is a penalty of $5,000 a week for each week the project is late, what is the probability of incurring a penalty of at least $5,000? (Round your intermediate calculations to 2 decimal places and "Probability" values to 4 decimal places.) 
Probability  [removed] 
[removed]
3. value:
Problem 1711
