A random survey of cars parked in student and staff lots at University of New Yo

Q: A random survey of cars parked in student and staff lots at University of New Yo

a.) P(student and drives an asian car) = 103/649 = 0.1587 b.) P(staff member and drives an american car) = 154/649 = 0.2373 c.) P(student|drives an european car) = 78/133 = 0.5865 d.) P(student or drives a European car) = P(student) + P(European car) - P(student and drives a european car) = 343/649 + 133/649 - 78/649 = 398/649 = 0.61325

ID: 3430042 • Letter: A

Question

A random survey of cars parked in student and staff lots at University of New York classified the brands by the country of origin as seen in the table shown above.

(a) What is the probability that a person is a student and drives an Asian car?

(b) What is the probability that a staff member is driving an American car?

(d) What is the probability that a person is either a student or drives a European car?

Please explain each step and write clear.

Student Staff Total American 162 154 316 European 78 55 133 Asian 103 97 200 Total 343 306 649

Explanation / Answer

a.) P(student and drives an asian car) = 103/649 = 0.1587

b.) P(staff member and drives an american car) = 154/649 = 0.2373

c.) P(student|drives an european car) = 78/133 = 0.5865

d.) P(student or drives a European car)

= P(student) + P(European car) - P(student and drives a european car)

= 343/649 + 133/649 - 78/649

= 398/649

= 0.61325

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