Homework SourseA random survey of cars parked in student and staff lots at
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?
(c) Given that a person drives a European car, what is the probability that it is a student?
(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 |
Solution
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
