What is the probability that the student is a freshman

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Assignment:

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%, 25% and 25%.

a. What is the probability that a randomly selected student is a sophomore who does not live in a dormitory?

b. What percentage of the students live in a dormitory?

c. If a randomly selected student lives in the dormitory, what is the probability that the student is a freshman?

d. If a randomly selected student does not live in the dormitory, what is the probability that the student is a junior or a senior?

Reference no: EM133455741

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