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use probability notation in your work.

30% of OSU students have cars that are black.Suppose you randomly sample 5 OSU students, and let X be the number of students in the sample with black cars.Find the probabilities of the following events.

a.Exactly 3 students in the sample have black cars.

b.More than 3 students in the sample have black cars.

c.Less than half of the students in the sample have black cars.

d.At least one student in the sample has a black car.