Answer:
The probability that an Audi A8 car with 2.4L engine is selected given that the car failed emissions test taken within four years of purchase is 0.3589.
Step-by-step explanation:
Let's denote event as follows:
<em>A</em> = an Audi A8 car has a 2.0L engine.
<em>B</em> = an Audi A8 car has a 2.4L engine.
<em>C</em> = an Audi A8 car has a 2.8L engine.
<em>X</em> = an Audi A8 car failed emissions test taken within four years of purchase.
The information provided is:
The probability that an Audi A8 car with 2.4L engine is selected given that the car failed emissions test taken within four years of purchase is:
Compute the probability of an Audi A*8 car failed emissions test taken within four years of purchase as follows:
Compute the value of P (B|X) as follows:
Thus, the probability that an Audi A8 car with 2.4L engine is selected given that the car failed emissions test taken within four years of purchase is 0.3589.