An auto manufacturer has studied the choice of options available to customers wh

Question

An auto manufacturer has studied the choice of options available to customers when ordering a new vehicle. Of the customers who order a car 20% choose a sunroof, 30% choose a leather interior, 35% choose both, and the rest opt for neither. Of the customers who order a truck. 40% choose an extended cab, 25% choose all-wheel drive, 15% choose both, and the rest opt for neither. You cannot get a sunroof on a truck or an extended cab on a car. For this brand, half of the customers who order a vehicle choose a car (a) Organize these probabilities as a probability tree (b) What's the probability that the customer orders a vehicle with a sunroof? (a) Complete the probablity tree Car and Sunroof Car and Leather Interior Car and Both Car and Neither Truck and Extended Cab Truck and Al1-Wheel Drive Iruck and Both Truck and Neither - Truck Type integers or decimals.)

Explanation / Answer

Car - 0.5

Truck 0.5

Coming to right side

Car and Sunroof -0.5*0.2=0.1

Car an Leather=0.5*0.3=0.15

Car and Both=0.175

Car and Neither=0.075

Truck and Extended=0.2

Truck and All wheel drive=0.125

Truck and both=0.075

Truck and neither=0.10

Probability( vehicle with sunroof) = P( car and sunroof) =0.1

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