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).

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 40E: Telephone Marketing A mortgage company advertises its rates by making unsolicited telephone calls to...
Question
Help with question X
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).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage