Customers who purchase an aluminum-structured Audi A8 can order an engine in any of three sizes: 2.0L, 2.4L, and 2.8L. Of all Audi A8 cars sold, 45% have the 2.0L engine, 35% have the 2.4L, and 20% have the 2.8L. Of cars with the 2.0L engine, 10% have been found to fail an emissions test within four years of purchase, while 12% of those with the 2.4L engine and 15% of those with the 2.8L engine fail the emissions test within four years. An Audi A8 record for a failed emissions test taken within four years of purchase is chosen at random.

What is the probability that it is for an Audi A8 car with a 2.4L engine?

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:

A = an Audi A8 car has a 2.0L engine.

B = an Audi A8 car has a 2.4L engine.

C = an Audi A8 car has a 2.8L engine.

X = 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.

answer:

the position of equilibrium will shift to the left.

step-by-step explanation:

the general equation for the dissociation of a weak base is

b + h₂o   ⇌   bh⁺ + oh⁻

according to le châtelier's principle, when a stress is applied to a system at equilibrium, the system will respond in a way that tends to relieve the stress.

if you apply a stress by adding more bh⁺ or oh⁻,   the system will respond by moving in a direction that gets rid of the added ions.

the position of equilibrium will shift to the left, forming more of the undissociated base.