I would like some assistance with the following Quantitative Methods probability distribution questions

Use this information to answer the following questions. Consider the following Activity-On-Node (AON) PERT project. The three values that represent each activity's completion time (in days) correspond to an optimistic time, most likely time, and pessimistic time, respectively. 4-5-6 2-3-4 B D 3-4-5 4-5-6 F A 5-6-7 3-4-5 E Refer to the figure. What is the probability of not completing the project within 18 days? Select one: O a, 0.0668 O b. 0.9332 O c. 0.4878 O d. 0.4332 O e. 0.0122S Use this information to answer the following questions. Consider the following Activity-On-Node (AON) PERT project. The three values that represent each activity's completion time (in days) correspond to an optimistic time, most likely time, and pessimistic time, respectively. 4-5-6 2-3-4 B D 4-5-6 3-4-5 F 5-6-7 3-4-5 E Refer to the figure. What is the standard deviation associated with the completion time of activity B? Select one: O a, 5 O b. 0.3333 O c. 0.2222 O d. 0. 1111 O e. 2Use this information to answer the following questions. Consider the following Activity-On-Node (AON) project (activity completion times are in days). 2 B D 3 F A 3 E Refer to the figure. How long will take to complete the project? Select one: O a. 11 days O b. 13 days O c. 15 days O d. 12 days O e. 14 daysProvide an appropriate response. The regression line for the given data is y = 6.91x + 46.26. Determine the residual of a data point for which x = 2 and y = 58. Number of years, x 3 4 15 3 6 2 7 3 Grades on test, y 61 68 75 82 73 90 58 93 72 Select one: O a. 60.08 O b. -445.04 O C. -2.08 O d. 118.08Use this information to answer the following questions. Consider the following payoff table that represents the profits earned for each alternative (A, B, and C) under the states of nature $1, $2, and 53. $2 $3 A $60 $145 $120 B $75 $125 $110 C $95 $85 $130 Refer to the payoff table. Using the criterion of realism and an alpha value of 0.7, what would be the highest expected payoff? Select one: O a. $127 O b. $98.5 O c. $116 O d. $119.5 O e. $145