Given the ensuing results of surveying 100 randomly selected

Given the ensuing results of surveying 100 randomly selected graduate economics students at Kim Il Sung University, North Korea, determine the following probabilities.

30 students are not taking Professor Marx’s course Das Kapital

40 students are not taking Professor Smith’s course Wealth of Nations

10 students are not taking either professor’s course

11.1 A student takes Professor Smith’s course given that he/she takes Professor Marx’s course

11.2 A student takes either Professor’s course

11.3 A student takes Professor Marx’s course given that he/she does not take Professor Smith’s course

11.4 A student takes Professor Marx’s course

11.5 A student takes both Professors’ courses

11.6 A student takes neither Professor’s courses

Solution

11.2.The probability that a student takes either Professor’s course is:

1-P(A student not taking either professor’s course)

=1-0.1=0.9

11.4. The probability that a student takes Professor Marx’s course is:

1-0.30=0.70

11.6. The probability that a student takes neither Professor’s courses is:

0.30*0.40=0.12