Question

28% of all students at the university own a car and 39% own a bicycle. one-fourth of the car owners also own a bicycle. a student at the university is randomly selected. find the probability that this student

a. does not own a car. [ select ]
b. owns a bicycle given that the person owns a car. [ select ]
c. is a car owner who also owns a bicycle. [ select ]
d. is a car owner given that the student owns a bicycle. [ select ]

Answer 1

To find the probabilities, subtract the percentage of car owners from 100% for a. Use the fact that one-fourth of car owners also own a bicycle for b, c, and d.

Step-by-step explanation:

To find the probabilities, we can use the information given in the question:

• 28% of students own a car
• 39% of students own a bicycle
• One-fourth of car owners also own a bicycle

a. To find the probability that a student does not own a car, we can subtract the percentage of car owners from 100%:

100% - 28% = 72%

b. To find the probability that a student owns a bicycle given that the person owns a car, we can use the fact that one-fourth of car owners also own a bicycle:

1/4 * 28% = 7%

c. To find the probability that a student is a car owner who also owns a bicycle, we can use the fact that one-fourth of car owners also own a bicycle:

1/4 * 28% = 7%

d. To find the probability that a student is a car owner given that the student owns a bicycle, we can use the fact that one-fourth of car owners also own a bicycle:

1/4 * 28% = 7%