In a certain year, 27.6% of all light vehicles were light trucks, 27.6% were SUVs, and 44.8% were cars. The probability that a severe side-impact crash would prove deadly to a driver depended on the type of vehicle he or she was driving at the time, as shown in the table. What is the probability that the victim of a deadly side-impact accident was driving an SUV? (Round your answer to four decimal places.) Light Truck.210SUV.371Car1.000

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In a certain year, 27.6% of all light vehicles were light trucks, 27.6% were SUVs, and 44.8% were cars. The probability that a severe side-impact crash would prove deadly to a driver depended on the type of vehicle he or she was driving at the time, as shown in the table. What is the probability that the victim of a deadly side-impact accident was driving an SUV? (Round your answer to four decimal places.)

 Light Truck 0.21 0.371 1
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Step 1

The probability that the victim of a deadly side-impact accident was driving an SUV is obtained below:

Let A be the event of driving Light truck, B be the event of selecting SUV, C be the event of selecting Car.

Hence the probability of selecting any group is equally likely and mutually exclusive.

That is, P (A) = 0.276, P(B) = 0.276  and P(C) = 0.448.

Let S be the event that the selected deadly proved accident occurred to the driver, then the priory probability are,

P(S|A)= 0.210, P(S|B) = 0.371, and P(S|C) = 1.000

The deadly proved accident occurred to driver is

Step 2

The probability that the victim of a deadly sid...

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