In: Statistics and Probability
A survey asked university students who wanted to go to an exchange program, which city they will choose – London, Paris or Madrid. The exchange programs are only offered in the first and second year. The results are given below in the table.
London |
Paris |
Madrid |
Total |
|
1st year student |
90 |
70 |
240 |
|
2nd year student |
95 |
270 |
||
Total |
170 |
a) Fill the table. What is the probability that a student chosen at random is a junior and did not select Madrid?
b) What is the probability that a student chosen at random selected London, given that the student is a senior (2nd year)?
c) It seems that Madrid becomes much more popular with second year students than in the first year. Can you figure out if being a second year student and choosing Madrid are independent events? Explain.