THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A manufacturer of automobiles conducted a market survey.Eighty percent of the customers want better fuel efficiency,while 55% want a vehicle navigation system and 45% percent want both features.
-The probability that a person wants a vehicle navigation system but not better fuel efficiency is:
A)0.90
B)0.10
C)0.45
D)0.35

Question

Quizplus · Accepted Answer

From the information given, we know that:
- P(better fuel efficiency) = 0.8
- P(vehicle navigation system) = 0.55
- P(both features) = 0.45

Using these probabilities, we can calculate the probability of wanting only a navigation system as follows:

P(vehicle navigation system but not better fuel efficiency) = P(vehicle navigation system) - P(both features)
= 0.55 - 0.45
= 0.10

Therefore, the probability that a person wants a vehicle navigation system but not better fuel efficiency is 0.10 or 10%.