Question

In a certain school, 4 levels of French are taught with 40% of the students being...

In a certain school, 4 levels of French are taught with 40% of the students being enrolled in level
1, 30% enrolled in level 2, 20% enrolled in level 3, and 10% enrolled in level 4. The probability
that a student enjoys his/her French class is C2 given level 1, 0.4 given level 2, 0.35 given level
3, and 0.20 given level 4. A student is chosen at random. (Note: use the Bayes theorem to solve
the question)
a. What is the probability that the student enjoys his/her French class?
b. Given that a student enjoys his/her French class, what is the probability that is enrolled in level
1?
c. Given that a student enjoys his/her French class, what is the probability that is enrolled in level
2?
d. Given that a student enjoys his/her French class, what is the probability that is enrolled in level
3?
e. Given that a student enjoys his/her French class, what is the probability that is enrolled in level
4?

Math   Statistics-And-Probability   
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