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X. Given P(A) = 0.2, P(B) = 0.7, P(A | B) = 0.3, do the following. %3D %3D %3D (a) Compute P(A and B). (b) Compute P(A or B).

X. Given P(A) = 0.2, P(B) = 0.7, P(A | B) = 0.3, do the following. %3D %3D %3D (a) Compute P(A and B). (b) Compute P(A or B).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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VIII. Susan is taking Western Civilization this semester on a pass/fail basis. The department teaching the course has a history of passing 67% of the students in Western Civilization each term. Let n = 1, 2, 3, ... represent the number of times a student takes Western Civilization until the first passing grade is received. (Assume the trials are independent.) (a) Write out a formula for the probability distribution of the random variable 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 tries to pass Western Civilization? (Round your answer to three decimal places.) IX. There are three nursing positions to be filled at Lilly Hospital. Position 1 is the day nursing supervisor; position 2 is the night nursing supervisor; and position 3 is the nursing coordinator position. There are 11 candidates qualified for ail three of the positions. Determine the number of different ways the positions can be filled by these applicants. X. Given P(A) = 0.2, P(B) = 0.7, P(A | B) = 0.3, do the following. (a) Compute P(A and B). (b) Compute P(A or B).
Transcribed Image Text:VIII. Susan is taking Western Civilization this semester on a pass/fail basis. The department teaching the course has a history of passing 67% of the students in Western Civilization each term. Let n = 1, 2, 3, ... represent the number of times a student takes Western Civilization until the first passing grade is received. (Assume the trials are independent.) (a) Write out a formula for the probability distribution of the random variable 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 tries to pass Western Civilization? (Round your answer to three decimal places.) IX. There are three nursing positions to be filled at Lilly Hospital. Position 1 is the day nursing supervisor; position 2 is the night nursing supervisor; and position 3 is the nursing coordinator position. There are 11 candidates qualified for ail three of the positions. Determine the number of different ways the positions can be filled by these applicants. X. Given P(A) = 0.2, P(B) = 0.7, P(A | B) = 0.3, do the following. (a) Compute P(A and B). (b) Compute P(A or B).
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