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. 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. (Use p andn in your answer.) P(n) = (0.57)(0.43)"-1 (b) What is the probability that Bob first passes the bar exam on the second try (A = 2)? (Use 3 decimal places.) 0.245 (c) What is the probability that Bob needs three attempts to pass the bar exam? (Use 3 decimal places.) (d) What is the probability that Bob needs more than three attempts to pass the bar exam? (Use 3 decimal places.) (e) What is the expected number of attempts at the state bar exam Bob must make for his (first) pass? Hint: Use u for the geometric distribution and round.

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