students get a Bachelor of Arts and Science degree, which requires meeting graduation criteria for both degrees. A student advisor needs to know the probability a newly admitted student is interested in such a program, so that the student can be properly advised. A study of previous years finds that the probability a student gets a Bachelor of Science degree is P(Science) = 0.3 and the probability a student gets a Bachelor of Arts degree is P(Arts) = 0.6. The study also shows that the probability a student gets no degree is P(no) = 0.2. Some probability calculations show the probability of getting a Bachelor of Arts and Science degree to be P(Arts & Science) = 0.1. Getting a Bachelor of Arts degree and getting a Bachelor of Science degree are not independent because: P(Arts & Science) = P(Arts) P(Arts & Science) = P(Arts)P(Science) P(Arts & Science) = P(Arts | Science) O P(Arts & Science) P(Arts)P(Science)

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
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University degree requirements typically are different for Bachelor of Science degrees and Bachelor of Arts degrees. Some
students get a Bachelor of Arts and Science degree, which requires meeting graduation criteria for both degrees. A student
advisor needs to know the probability a newly admitted student is interested in such a program, so that the student can be
properly advised. A study of previous years finds that the probability a student gets a Bachelor of Science degree is
P(Science) = 0.3 and the probability a student gets a Bachelor of Arts degree is P(Arts) = 0.6. The study also shows that
the probability a student gets no degree is P(no) = 0.2. Some probability calculations show the probability of getting a
Bachelor of Arts and Science degree to be P(Arts & Science) = 0.1.
Getting a Bachelor of Arts degree and getting a Bachelor of Science degree are not independent because:
P(Arts & Science) = P(Arts)
P(Arts & Science) = P(Arts) P(Science)
P(Arts & Science) = P(Arts | Science)
O P(Arts & Science) # P(Arts)P(Science)
Transcribed Image Text:University degree requirements typically are different for Bachelor of Science degrees and Bachelor of Arts degrees. Some students get a Bachelor of Arts and Science degree, which requires meeting graduation criteria for both degrees. A student advisor needs to know the probability a newly admitted student is interested in such a program, so that the student can be properly advised. A study of previous years finds that the probability a student gets a Bachelor of Science degree is P(Science) = 0.3 and the probability a student gets a Bachelor of Arts degree is P(Arts) = 0.6. The study also shows that the probability a student gets no degree is P(no) = 0.2. Some probability calculations show the probability of getting a Bachelor of Arts and Science degree to be P(Arts & Science) = 0.1. Getting a Bachelor of Arts degree and getting a Bachelor of Science degree are not independent because: P(Arts & Science) = P(Arts) P(Arts & Science) = P(Arts) P(Science) P(Arts & Science) = P(Arts | Science) O P(Arts & Science) # P(Arts)P(Science)
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