Statistics and Probability

consist of five parts on project scheduling with unknown activity times. The normal distribution table is on the formulae sheet.

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(a) The following table contains the optimistic, most probable, and pessimistic activity time estimates (in days) for a large project. Fill in the expected time and variance for each relevant activity. Round your answers in the table to 2 decimal places. Large Project With Uncertain Activity Times Activity Optimistic Most Probable Pessimistic| Critical (a) Expected Time (m) (b Variance Path? (t ) (02) A 6 24 30 No B 7 24 41 Yes C 4 21 38 No D 8 12 28 Yes E 8 21 34 No F 9 24 39 No G 10 12 38 No H 3 21 45 Yes 2 21 52 Yes J 7 12 47 No K 10 21 32 YesRound your answer in part (b) up to the nearest whole number. (b) The expected project completion time is days. Round your answer in part (c) to 2 decimal places. (c) The standard deviation of the critical project completion times is days. What is the probability that the project can be completed in 110 days? We assume that the distribution of the project completion time is symmetric and bellshaped. (Round all t, a, and 2 values to two decimal places.) For parts (d), (e), use values for t and a that are rounded to 2 decimal places in your calculation. Round the 2 value to 2 decimal places. (d) The zvalue used to calculate the probability is For part (e) express the probability in decimal form (i.e. 0.0003 instead of 0.0300%) and round your final answer to 4 decimal places. (e) The probability that the project can be completed in 110 days is