Homework 6

This homework is due on Monday, May 4, right before class.

  1. In Lower Austria, about 85% of those driving in cars use seat belts. In 2008, there have been 6178 persons involved in car accidents. 142 of them have died. Of those who have died, 52 did not use seat belts. How much does the probability of dying in a car accident increase in Lower Austria if you don't use the seat belt?
  2. In Switzerland in 2007, 266,018 new cars were sold, and 46,054 new motorcycles. Assume that cars are driven on average for 150,000 km, and motorcycles for 50,000 km before they are replaced by new ones. Also assume that in cars, on average there are 1.3 persons (this is just an estimate, if you can find data, use it), while on motorcycles, on average there sit 1.01 persons. In 2007, 162 persons died in cars during car accidents and 79 persons died in accidents driving a motorcycle. How much higher is the risk driving 100km by motorcycle than driving in a car?
  3. In 2008, 1850000000 km were driven together by all motorcyclists in Baden-Württemberg. 5586 accidents occured, and 124 of those persons died in the accident. If you drive 100 km in Baden-Württemberg on a motorcycle, what is the probability to get into an accident? If you get into an accident, what is your probability of dying? If you drive 100 km in Baden-Württemberg on a motorcycle, what is the probability to die during this tour?
  4. According to data here, all US-americans together drove 3,030,000,000,000 miles in 2007. 44,599 persons died in car accidents. Use the data given here to find out how much more dangerous driving with a driver having a BAC of 0.08% or more is, compared to driving with a completely sober driver. Use the fact that 2.2% (down from 7.5% in 1973!) of all miles are driven by drivers having a BAC of 0.08%, this is also consistent with roadside surveys in Australia, France, and the Netherlands.
  5. You are 50 km from home, and must go home, and have 4 options for going home: