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

a) What is the probability that an American chosen at random died as a passenger car occupant last year? 0.719 Incorrect Give your answer as a fraction or decimal. If decimal, make sure your answer is accurate to at least 2 significant figures (values after leading zeros)

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. Cause Deaths Passenger car occupant (driver or rider) 13,100 Motorcycle (driver or rider) 4,500 Tornado 553 Skydiving 56 Hint: b)Does your probability of dying in a car accident next year differ much from the probability of a random person dying in a car accident?

c) Estimate the probability that you will die as a passenger car occupant next year? Incorrect 0.0000018 Make sure your answer is accurate to at least 2 significant figures (values after leading zeros)

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

d) What is the probability that an American chosen at random will die as the result of a tornado next year? 0.25Incorrect Make sure your answer is accurate to at least 2 significant figures (values after leading zeros)

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

g) People sometimes claim skydiving is less dangerous than driving or riding in a car. Does the data support this claim? Explain. 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. Cause Deaths Passenger car occupant (driver or rider) 13,100 Motorcycle (driver or rider) 4,500 Tornado 553 Skydiving 56

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?

Answer 1

Let P = Die as a Car Passenger M = Die as a motocycle rider T = Die in Tornado S = Die during Sky diving

Total Population = 312000000

a) The probability that an American chosen at random died as a passenger car occupant last year

b) Since, we are asked to assume that the given values are not changing from year to year we may say that the probability of dying in a car accident next year would not differ much from the probability of a random person dying in a car accident.

c) The person, being an American citizen, the probability that the person will die as a passenger car occupant next year would be:

d) The probability that an American chosen at random will die as the result of a tornado next year

g) We may support the claim 'Skydiving is less dangerous than driving or riding in a car' if the death rate among car occupants / drivers is greater than that in sky-diving:

Death rate among car occupants / drivers

Death rate among Sky-divers

We find that  the death rate among car occupants / drivers is greater than that in sky-diving. This provides sufficient evidence to support the claim that 'Skydiving is less dangerous than driving or riding in a car' based on the given data.

h) We may support the claim 'Motorcycle riding is less dangerous than traveling by car' if the death rate among car occupants / drivers is greater than that among motorcycle riders:

Death rate among car occupants / drivers

Death rate among motorcycle riders

We find that  the death rate among car occupants / drivers is greater than that among motocycle riders. This provides sufficient evidence to support the claim that 'Motorcycle riding is less dangerous than traveling by car' based on the given data.