Refer to Exercise 3.95. Given that a student, selected at random, is found to have an extensive understanding of physics, what is the probability that the student has

(a) an extensive understanding of chemistry;

(b) an extensive understanding of both chemistry and mathematics;

(c) an extensive understanding of either chemistry or mathematics?

Data From Example 3.95

Transcribed Image Text:

3.95 The following frequency table shows the classification of 90 students in their sophomore year of college ac- cording to their understanding of physics, chemistry, and mathematics. Physics Average Extensive Chemistry Chemistry Average Extensive Average Extensive Mathematics Average 8 16 12 18 Extensive 14 4 14 4 If a student is selected at random, find the probability that the student has (a) an extensive understanding of chemistry; (b) an extensive understanding of physics and an aver- age understanding of mathematics and chemistry; (c) an extensive understanding of any two subjects and an average understanding of the third; (d) an extensive understanding of any one subject and an average knowledge of the other two.