Bob is a recent law school graduate who intends to take the state bar exam. According to

Question:

Bob is a recent law school graduate who intends to take the state bar exam. According to the National Conference on Bar Examiners, about 57% of all people who take the state bar exam pass (Source: The Book of Odds by Shook and Shook, Signet). Let n = 1, 2, 3, . . . represent the number of times a person takes the bar exam until the first pass.

(a) Write out a formula for the probability distribution of the random variable n.

(b) What is the probability that Bob first passes the bar exam on the second try (n = 2)?

(d) What is the probability that Bob needs more than three attempts to pass the bar exam?

(e) What is the expected number of attempts at the state bar exam Bob must make for his (first) pass?

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...