Answer to Question #17963 in Statistics and Probability for ADANE HAILU

Question

8. A survey of 1000 students who had graduated from a particular university in different measure areas in a given year and sought employment in different fields reveals the following data.

Major areas Openings Total
Industry Banking Trade Govt. services Others
Arts 50 30 10 15 5 110
Science 10 40 60 20 10 140
Commerce 15 20 5 10 20 70
Engineering 5 30 35 40 10 120
Medicine 20 15 55 35 125 250
Others - 5 115 50 140 310
Total 100 140 280 170 310 1000

If a graduate is selected at random from this group, find the probability that he or she is:
a. an arts graduate
b. employed in trade
c. a commerce graduate employed in banking
d. an engineering graduate given that he or she is employed in industry
e. a science graduate or employed in industry
f. an arts graduate or employed in industry