The probability that the selected customer purchased a Brand 1 model is 0.14.
Given that probability a customer would purchase the Brand 1 model TV was 70% while the rest of the customers purchased the Brand 2 model. and 20% of the Brand 1 customers purchased an extended warranty while 40% of Brand 2 customers purchased an extended warranty.
The probability that a customer would purchase Brand 1 model TV P(A)=0.70.
The probability that a customer purchases the extended warranty given that the customer purchased the Brand 1 model TV is
P(B|A)=0.20
P(A and B)÷P(A)=0.20
P(A and B)÷0.70=0.20
P(A and B)=0.14
Hence, the probability that the selected customer purchases a Brand 1 model and an extended warranty is 0.14.
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