Sport utility vehicles (SUVs), vans, and pickups are generally considered to be more prone to rollover than cars. In 1997, 24.0% of all highway fatalities involved rollovers; 15.8% of all fatalities in 1997 involved SUVs, vans, and pickups, given that the fatality involved a rollover. Given that a rollover was not involved, 5.6% of all fatalities involved SUVs, vans, and pickups. Consider the following definitions A = fatality involved an SUV, van, or pickup B = fatality involved a rollover A) Use Baye’s Theorem that a fatality involved a rollover, given that the fatality involved an SUV, van or pickup. B) Compare the results in (a) to the probablity that the fatality involved a rollover and comment on whether SUVs, vans, or pickup are more proned to rollovers accidents than other vehicles.
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