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According to the record of the registrar’s office at a state university, 35% of the students...


According to the record of the registrar’s office at a state university, 35% of the students are freshman, 25% are sophomore, 16% are junior and the rest are senior. Among the freshmen, sophomores, juniors and seniors, the portion of students who live in the dormitory are, respectively, 80%, 60%, 30% and 20%.

a)Referring to the information above, what is the probability that a randomly selected student is a freshman who lives in a dormitory?






Math   Statistics-And-Probability   
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Answer #1

Probability of Freshman, P(F) = 0.35

Probability of Sophomore, P(S) = 0.25

Probability of Junior, P(J) = 0.16

Probability of Senior, P(Sr) = 1- 0.35 -0.25 - 0.16 = 0.24

Probability of students living in dormitory given that they are Freshman, P(D|F) = 0.80

Probability of students living in dormitory given that they are Sophomore, P(D|S) = 0.60

Probability of students living in dormitory given that they are Junior, P(D|J) = 0.30

Probability of students living in dormitory given that they are Senior, P(D|Sr) = 0.20

a) Probability that a randomly selected student is a freshman who lives in a dormitory, P(F|D) =

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