Bayes' Theorem: P(A | B) = P(A & B)/P(B)
e) P(white Toyota | automatic shift car) = P(white Toyota and automatic shift) / P(automatic shift)
= (0.45x0.4x0.8)/0.65
= 0.2215
Let T indicates that a car is Toyota, H indicate Honda and F indicate Ford. Also, Let W indicate that a car is white and A indicate that its having Automatic shift.
f) White Toyota with Manual transmission = W T A'
Venn Diagram
g) Either a non-white Honda or a Ford with Automatic transmission
= (H W') U (F A)
Venn Diagram
Do part e f and g please 3. A certain auto mall sells only Fords, Hondas,...
3. A certain auto mall sells only Fords, Hondas, and Toyotas. Each customer buys only 1 car It is known that 45% of all customers buy a Toyota and 35% buy a Ford. It is also known that 40% of the Toyota customers buy a white car whereas only 30% of the Honda customers buy a white car. None of the Ford customers buy a white car a. Express all numbers given in the problem statement as probabilities of events....
3. A certain auto mall sells only Fords, Hondas, and Toyotas. Each customer buys only 1 car. It is known that 45% of all customers buy a Toyota and 35% buy a Ford. It is also known that 40% of the Toyota customers buy a white car whereas only 30% of the Honda customers buy a white car. None of the Ford customers buy a white car. a. Express all numbers given in the problem statement as probabilities of events....