-Suppose a student is chosen (A) What is the probability (B) What is the probability (C) What is the probability at random. that the student is not an Arts & Sc that the student is from out-of-stat- that the student is from out-of-stat

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Given below is a probability matrix for students at a university classified by residency and major
In-state
Out-of-state
Arts & Sciences
0.50
0.10
Agriculture
0.10
0.05
Other
0.20
0.05
Suppose a student is chosen at random
(A) What is the probability that the student is not an Arts & Sciences major?
(B) What is the probability that the student is from out-of-state and is an Arts & Sciences major?
(C) What is the probability that the student is from out-of-state or is an Arts & Sciences major?
(D) If the student is an Arts & Sciences major, what is the probability that the student is from out-of-
state? What type of probability is it?
independent?
(E) Are the two events "being an Arts & Sciences major" and "being from out-of-state"
Explain
Transcribed Image Text:In-state Out-of-state Arts & Sciences 0.50 0.10 Agriculture 0.10 0.05 Other 0.20 0.05 Suppose a student is chosen at random (A) What is the probability that the student is not an Arts & Sciences major? (B) What is the probability that the student is from out-of-state and is an Arts & Sciences major? (C) What is the probability that the student is from out-of-state or is an Arts & Sciences major? (D) If the student is an Arts & Sciences major, what is the probability that the student is from out-of- state? What type of probability is it? independent? (E) Are the two events "being an Arts & Sciences major" and "being from out-of-state" Explain
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