Write out the formula for the probability distribution of the random variable n. P(n)=? b. What is the probability that Susan passes on the first try (n=1)? (Round your answer to two decimal places) c. What is the probability that Susan first passes on the second try (n=2)? (Round your answer to
Susan is taking western civilization this semester on a pass/fail basis. The department teaching the course has a history of passing 83% of the students in the western civilization each term. Let n=1,2,3... represent the numbers of times a student takes western civilization until the first passing grade is received. (Assume the trials are indecent)
a. Write out the formula for the probability distribution of the random variable n. P(n)=?
b. What is the probability that Susan passes on the first try (n=1)? (Round your answer to two decimal places)
c. What is the probability that Susan first passes on the second try (n=2)? (Round your answer to three decimal places)
d. What is the probability that Susan needs three or more trials to pass western civilization? (Round your answer to three decimal places)
e. What is the expected number of attempts at western civilization Susan must make to have her (first) pass? Hint: use u for the geometric distribution and round. (Round your answer to two decimal places)
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