In: Statistics and Probability
During the fall break 315 students visited home. 115 traveled via plane, 150 traveled via cars, and 50 traveled via trains. After reaching home 12% of the students who traveled by became sick, 5% of the students who traveled by cars became sick, and 10% of the students who traveled through trains became sick.
a.) Draw a tree diagram that displays this information. Write the probability of each branch
b.) A student is selected at random. Find the probability that the student traveled via train, given that the student became sick.
c.) A randomly selected student did not become sick. Find the probability that the student traveled via plane.