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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all i need help with are (c) (d) and (e)
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 and n 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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Transcribed Image Text: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 and n 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. Need Help? Read It INTL O 10:52 esc ! @ 2# backspa 8 1 2 3 4 5 y i e r h V .. ..
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