#10 Law: Bar Exam Bob, a recent law school graduate, 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...

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Extracted text: #10 Law: Bar Exam Bob, a recent law school graduate, 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. Let n= 1, 2, 3, .. represent the number of times a person takes the bar exam until the first pass. се (a) Write 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)? (c) What is the probability that Bob needs three attempts to pass the bar exam? (d) What is the probability that Bob needs more than three attempts to pass the bar exam? (e) What is the expected number (µ) of attempts at the state bar exam Bob must make for his (first) pass? Hint: use µ for the geometric distribution and round.