STATISTICS AND PROBABILITY

kindly help if possible :)

Question on activity time and variances and critical path

(a) The following table contains the optimistic, most probable, and pessimistic activity time estimates (in days) for a large project. Fill in the expected activity time and variance columns. Note: To calculate the expected project completion time and the variancejstandard deviation of the project completion times you need only some of the expected activity times (t) and variances (02) . To save your time, you can enter 0 (zero) in the boxes of other activities, but do not leave the boxes empty. If necessary, round it to the nearest whole number and 0'2 to two decimal places. Large Project With Uncertain Activity Times Optimistic Most Pessimistic Critical Expected Time Variance (a) Probable (t) (m) I Z 0 x q M \\_/ _| D N 03 M M D _| _| 03 M at Z 0 _| M Z Z 0 _| _\\ O _| _\\ O II If necessary, round your answer in part (b) 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 project completion times is days. For part {d}, use values of t and Jfrom parts (bl-(c). (d) What is the probability that the project can be completed in 38 days? We assume that the distribution of the project completion times is symmetric and bell-shaped. Round the z-score to 2 decimal places. The z-score used to calculate the probability is _. Express the probability in decimal form with 4 decimal places {i.e. 0.2347 instead of 23.47%) . The probability that the project can be completed in 38 days is