The table below shows the number of deaths in the U.S. in a year due to a variet

Question

The table below shows the number of deaths in the U.S. in a year due to a variety of causes. For these questions, assume these values are not changing from year to year, and that the population of the United States is 312 million people. Make sure your answers are accurate to at least 2 significant figures (values after leading zeros) b) What is the probability that you died as a passenger car occupant last year? c) What is the probability that you will die as a passenger car occupant next year? d) What is the probability that an American chosen at random will die as the result of a tornado next year? e) What is the probability that you will die as the result of a tornado next year? g) People sometimes claim skydiving is less dangerous than driving Does the data support this claim? h) People sometimes claim motorcycle riding is less dangerous than driving. Does the data support this claim? What additional information and/or calculations would be useful to evaluate this claim?

Explanation / Answer

a) Probability of dying as a passenger car occupent last year = 13100 / (13100+4500+553+56) = 0.7194.

b) Probability of dying as a passenger car occupent last year = 0.7194 (As the values of deaths in different segments remain same over the years.

c) Probability that a American chosen at random will die in Tornado next year= (553/31200000) = 0.000018.

d) Probability of dying in Tornado next year = 553 / (13100+4500+553+56) = 0.0304.

e) Probability of dying in Motorcycle driving = 4500 / (13100+4500+553+56) = 0.2471.

Probability of dying in Skydiving = 56 / (13100+4500+553+56) = 0.003.

Sincethe probability of dying in skydiving is low, the data supports the claim.

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