Question 2 You are teaching a class of eighty students. Let X be the number of students who pass the course. From experience, you know the probability that any one student passes the course is 0.95. Further, you assume that one student passing is independent from any other student passing. What is the distribution of X? You can use the following latex with " and p replaced: 76 ~ B(80. .95) Using the pbinom () function in R, calculate the probability that the number of students (out of eighty) that fail the course is greater than or equal to five students: pbinom (5, size = 80, p = 0.05, lower. tail = FALSE) ## [1] 0. 2107753 Answer: 0.2107753