Answer: The probability that a student owns a car given that the student is a high school junior is 0.30.
Step-by-step explanation:
Since we have given that
Probability that a student is a high school junior = 0.47
Probability that a student is a high school junior and owns a car = 0.14
Let the event A that a student is a high school junior.
And let the event B that a student owns a car.
P(A) = 0.47
P(A∩B)=0.14
We need to find the probability that a student owns a car given that the student is a high school junior.
So, we will use "Conditional probability":
[tex]P(B\mid A)=\dfrac{P(A\cap B)}{P(A)}\\\\P(B\mid A)=\dfrac{0.14}{0.47}\\\\P(B\mid A)=0.297\\\\P(B\mid A)=0.30[/tex]
Hence, the probability that a student owns a car given that the student is a high school junior is 0.30.
