The department teaching the course has a history of passing 77% of the students in Western Civilization each term. Let represent the number of times a student takes Western Civilization until the first passing grade is received?
a. Write out a formula for the probability distribution of the random variable.
b. What is the probability that Susan passes on the first try?
c. What is the probability that Susan first passes on the second try?
d. What is the probability that Susan needs three or more tries to pass Western Civilization?
e. What is the expected number of attempts at Western Civilization Susan must make to have her (first) pass? Hint:
Use for the geometric distribution and round to the nearest whole number.