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StatisticsQ&A LibraryIn 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.371Car1.000Question

Asked Dec 3, 2019

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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 | .210 |
---|---|

SUV | .371 |

Car | 1.000 |

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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