Question

At a certain university, 140 of the 200 employees are Lebanese. Of the Lebanese employees, 40%...

At a certain university, 140 of the 200 employees are Lebanese. Of the Lebanese employees, 40% are fluent in English, 50% are fluent in French, and the rest are fluent in Spanish. Of the non-Lebanese employees, 70% are fluent in English, 20% are fluent in French, and the rest are fluent in Spanish.

1. Draw a probability tree diagram

2. Find the probability that a randomly selected employee is non-Lebanese and fluent in English

3. Given that a randomly selected employee is fluent in English, find the probability that (s)he is nonLebanese

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