45) Students at a local university have the option of taking freshman seminars d

Question

45) Students at a local university have the option of taking freshman seminars during their first year in college. A survey of the freshmen revealed the following: Among the social science majors, 50% chose to take a freshman seminar; among the humanities majors, 65% chose to take a freshman seminar; and among the physical science majors, it was 30% . Freshmen make up 32% of undergraduates.

A - The probability of taking a freshman seminar, if a student is a science major, is:

a) a total probability.

b) a conditional probability.

c) a complete probability.

d) a joint probability.

B - The percent of all freshmen enrolled in a freshman seminar is:

a) 0.523.

b) 0.5.

c) 0.32.

d) 1.

C - The probability that a student is a freshman, given that the student is enrolled in a freshman seminar, is:

a) The answer cannot be determined from the information provided.

b) 1.

c) 0.32.

d) 0.53.

Explanation / Answer

(a)

The probability of taking a freshman seminar, given that a student is a science major, comes under the case of conditional probabiilty.

This is because probability of taking a freshman class is different for different subjects.

(b)

You need to give more information to calculate this. It is not given that what percentage of freshmen are in social science majors, what % are in humanitarian majors and what % are in physical science majors.

(c)

In this case the answer is that probability is equal to 1. This is because freshman seminars are only for first year students, in other words, freshmen seminars are only conducted for freshmen.

So if a student is enrolled in a freshman seminar, then definitely he must be a freshman.

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