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Problem 1. Probability (10 points) Supposethattherearethreesessionsformachinelearning course,includingSession1(S1),Session2(S2), and Session 3 (S2), with students coming from different majors, including Computer Science (CS), Statistics (STAT), and Management

Problem 1. Probability (10 points)

Supposethattherearethreesessionsformachinelearning course,includingSession1(S1),Session2(S2), and Session 3 (S2), with students coming from different majors, including Computer Science (CS), Statistics (STAT), and Management (MG). The number of students in each session is shown in the followingtable.

Major

Session 1

Session 2

Session 3

CS

6

10

6

STAT

8

10

6

MG

6

0

8

Ifasession ischosenatrandomwithprobability(1)=0.2,(2)=0.2,(3)=0.6,andastudentin the selected session is selected to give a presentation about machine learning (with equal probability of selecting any of the students in the session), please find the followingprobabilities.

  1. The probability of select a student majored inCS.
  2. If we know that the selected student is from STAT, what is the probability that the student comes from Session 3?

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