I need help with this worksheet.

1. [7 pts] The table below gives the grades for MTH 243 for a_H students at a_H PCC campuses for the 2011- 2012 academic yea r. Note that Southeast did not become a fall campus until' 2014. Write a final answer in sentence form with the result as a percent rounded to two decimal places, i.e. 23.45%. A B C D P F/NP W lncomp/Audit Total Sylvania 334 292 182 83 14 80 123 4 1112 Cascade 141 106 67 25 9 24 42 3 417 Rock Creek 282 185 128 42 3 77 71 1 789 757 583 377 150 26 181 236 8 2318 For all questions, ask yourself, what is the chance, or "likelihood\" if you randomlyr select one Statistics student at PCC from the 2011-2012 academic year. a. What is the probability they had an A given they were attending Cascade campus? b. What is the probability they were attending Sylvania given they withdrew (W) from the class? c. Are the two events, campus and grade, independent? Show mathematical proof. 2. [8 pts] In the United States, 40% of the population have brown eyes. If 14 people are randomly selected, find the following probabilities using GeoGebra. Note: when you use GeoGebra, write down what you are entering to show your work. The way we define a binomial variable is X ~ Binomial(n, p), and fill in the numbers you entered for n and p. That way I can give you partial credit accordingly if something goes wrong @ a. What is the probability that exactly 8 of them have brown eyes? b. What is the probability that at least 12 of them have brown eyes? c. What is the probability that at most 6 of them have brown eyes? d. How many of them do we expect to have brown eyes? With what standard deviation? Include units with all statistics