To find the probability that a given car will have a malfunctioning air conditioner, given that it is of make C, we are looking for the conditional probability [tex]\( P(\text{Malfunctioning Air Conditioner} | \text{Make C}) \)[/tex].
From the provided table, we know the probabilities of a new car having a malfunctioning air conditioner for each specific make. The relevant figure from the table for make C is:
[tex]\[ P(\text{Malfunctioning Air Conditioner} | \text{Make C}) = 0.0108\% \][/tex]
Thus, the chance that a car will have a malfunctioning air conditioner, given that it is make C, is:
[tex]\[ 0.0108\% \][/tex]
Therefore, the conditional probability is 0.0108%.
