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 either better fuel efficiency or a vehicle navigation system is:
A)0.90
B)0.10
C)0.45
D)0.35

Question

Quizplus · Accepted Answer

To find the probability that a person wants either better fuel efficiency or a vehicle navigation system, we use the formula for the union of two sets: P(A ∪ B) = P(A) + P(B) - P(A ∩ B). Here, P(A) = 0.80 (better fuel efficiency), P(B) = 0.55 (vehicle navigation system), and P(A ∩ B) = 0.45 (both features). Thus, P(A ∪ B) = 0.80 + 0.55 - 0.45 = 0.90.