) Additive Rule Let S represent the sample space of classrooms on a college campus. Consider the following events: A = classroom remodeled within the last 5 years B = classroom has two doors C = classroom capacity does not exceed 50 students An industrial engineering student surveys the campus and determines the following probabilities: P(A) = 0.2, P(B) = 0.7, P(C) = 0.4 P(An B) = 0.2, P(ANC) = 0.0, P(B nC) = 0.3 a) Find P(An BnC). b) Find P(AUBUC).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 15E
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1) Additive Rule
Let S represent the sample space of classrooms on a college campus. Consider the following
events:
A = classroom remodeled within the last 5 years
B = classroom has two doors
C = classroom capacity does not exceed 50 students
An industrial engineering student surveys the campus and determines the following
probabilities:
P(A) = 0.2, P(B) = 0.7, P(C) = 0.4
P(An B) = 0.2, P(An C) = 0.0, P(BNC) = 0.3
a) Find P(An B nC).
b) Find P(AU BUC).
Transcribed Image Text:1) Additive Rule Let S represent the sample space of classrooms on a college campus. Consider the following events: A = classroom remodeled within the last 5 years B = classroom has two doors C = classroom capacity does not exceed 50 students An industrial engineering student surveys the campus and determines the following probabilities: P(A) = 0.2, P(B) = 0.7, P(C) = 0.4 P(An B) = 0.2, P(An C) = 0.0, P(BNC) = 0.3 a) Find P(An B nC). b) Find P(AU BUC).
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