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.

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?

) What is the probability that you will die as the result of a tornado next year?

f) Why is this answer different than the probability for an American chosen at random?

g) People sometimes claim skydiving is less dangerous than driving or riding in a car. Does the data support this claim?

h) People sometimes claim motorcycle riding is less dangerous than traveling by car. Does the data support this claim? What additional information and/or calculations would be useful to evaluate this claim?

Make sure your answer is accurate to at least 2 significant figures (values after leading zeros)

Cause Deaths Passenger car occupant (driver or rider) 13,100 Motorcycle (driver or rider) 4,500 Tornado 553 Skydiving 56

Explanation / Answer

Solution:

a) The number of deaths as passenger occupant is 13,100. The total number of Americans are 312 million. So, 13,100/312 million x 100 = 0.0042%

b) If you die as a passenger occupant last year, you have to compare it with the other causes. So, 13,100/(13,100+4,500+553+56) x 100 = 71.94%

c) The same answer with letter b since we assume that these data are constant.

d) The number of deaths due to tornado is 553. The total number of Americans are 312 million. So, 553/312 million x 100 = 0.00018%

e) Same with letter d. You can be chosen at random.

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