I would like some assistance with the following Quantitaive Methods Probability Question

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 A 5-6-7 3-4-5 E Refer to the figure. What is the probability of completing the project within 18 days? Select one: O a. 0.4332 O b. 0.4878 O c. 0.9332 O d. 0.0668 O e. 0.0122Provide an appropriate response. Which of the below is not a requirement for binomial experiment? Select one: O a. The probability of success is fixed for each trial of the experiment. O b. The experiment is performed a fixed number of times. O c. The trials are mutually exclusive. O d. For each trial there are two mutually exclusive outcomes.Provide an appropriate response. Mamma Temte bakes six pies a day that cost $2 each to produce: On 15%% of the days she sells only two pies. On 36% of the days, she sells 4 pies, and on the remaining 49% of the days, she sells all six pies, If Mama Temte sells her pies for $5 each, what is her expected profit for a day's worth of pies? [Assume that any leftover ples are given away.] Select one. a. -57.32 O b -57.00 O c. $23.40 O d. $11.40The data below are the average one-way commute times (in minutes) of selected students during a summer literature class and the number of absences for those students for the term. Calculate the linear correlation coefficient. Commute time (mint x 73 86 92 91 89 99 76 | 101 Number of absences y 13 2 13 3 Select one: O a 0.819 O b. 0.890 0 0. 0.980 O d. 0.881Provide an appropriate response. Express your answer as a simplified fraction unless otherwise noted. Consider a political discussion group consisting of 6 Democrats, 5 Republicans, and 3 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting an Independent and then a Democrat. Select one: O a 3 91 9 91 9 O C. 98 3 O d 182