Three recent college graduates have formed a partnership and have opened an advertising firm. Their first project consists of activities listed in the following table. Use Table B. Immediate Predecessor A Activity A B D E F G H I End TIME IN DAYS Optimistic Most Likely Pessimistic 5 6 7 8 11 6 8 11 9 12 15 5 6 9 6 3 D F B H E, G, I wa Click here for the Excel Data File a. What is the probability that the project can be completed in 24 days or less? in 21 days or less? (Round your te and z values to 2 decimal places and "Standard deviation" to 3 decimal places. Round your final answers to 4 decimal places.) Probability Days 24 days or less 21 days or less b. Suppose it is now the end of the seventh day and that activities A and B have been completed while activity Dis 50 percent completed. Time estimates for the completion of activity D are 5, 6, and 7 Activities Cand Hare ready to begin. Determine the probability of finishing the project by day 24 and the probability of finishing by day 21 (Round your intermediate calculations to 3 decimal places and final answers to 4 decimal places.) kipped Probability Day 24 Day 21 Book c. The partners have decided that shortening the project by two days would be beneficial. They have estimated the daily crashing costs for each activity in thousands, as shown in the following table. Which activities should be crashed? Activity First Crash Second Crash D 58 $10 59 57 58 57 56 $10 $11 $10 $9 $9 sa G H First Activity to Crash Second Set of Activities to Crash 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 and Table B1 Expected Duration Path (weeks) Variance 10 1.21 2.80 12 1.00 2.89 1.44 8 HUO D E 15 14 Click here for the Excel Data File Assuming the project begins now, what is the probability that the project will be completed before: (Round your z-value 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 b. The end of week 15? ok b. The end of week 15? nces Probability at the end of week 15 c. The end of week 13? Probability at the end of week 13