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The following is information regarding a construction project. Fill in the blanks and answer the questions that follow (Hint: questions build on one another): Activity Predecessor Pessimistic Time Most Likely Time Optimistic Time Slack Mean Variance J - 15 10 8 0 10.5 K - 9 8 7 5.5 8 L J 10 6 5 1.5 6.5 M J 3 3 3 N K & M 9 5 1 0 5 O K & M 10 7 4 5.5 P L & N 10 8 3 0 7.5 What is the critical path?1.3610.1110.6940301.778711.361What is the expected (mean) and variance of the duration of the critical path?What is the probability that the project will be completed in fewer than 30 days?