Respuesta :
Answer:
0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS
Step-by-step explanation:
We solve this question treating these probabilities as Venn sets.
I am going to say that:
Event A: Requesting automatic transmission
Event B: Requesting built-in GPS
90% of all buyers request automatic transmission
This means that [tex]P(A) = 0.9[/tex]
82% of all buyers request built-in GPS
This means that [tex]P(B) = 0.82[/tex]
77% of all buyers request both automatic transmission and built-in GPS.
This means that [tex]P(A \cap B) = 0.77[/tex]
What is the probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS
This is [tex]P(A \cup B)[/tex], which is given by:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
So
[tex]P(A \cup B) = 0.9 + 0.82 - 0.77 = 0.95[/tex]
0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS
