Question

In: Statistics and Probability

During the fall break 315 students visited home. 115 traveled via plane, 150 traveled via cars,...

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.

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