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 13,100
Motorcycle driver 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?
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/
d) What is the probability that an American chosen at random will die as the result of a tornado next year
f/ What is the probability that you will die as the result of a tornado next year?
To answer these questions, we need to calculate the probabilities based on the number of deaths in each category and the population of the United States.
a) The probability that an American chosen at random died as a passenger car occupant last year can be calculated by dividing the number of deaths due to passenger car occupants by the total population:
Probability = Number of deaths due to passenger car occupants / Total population
= 13,100 / 312 million
b) To calculate the probability that you specifically died as a passenger car occupant last year, we need information about your personal circumstances, such as if you were a passenger car occupant or not. Without this information, we cannot provide an accurate answer.
c) Similarly, to determine the probability that you will die as a passenger car occupant next year, we need information about your specific circumstances. This probability would depend on factors such as your age, driving habits, and exposure to situations where passenger car accidents are likely to occur.
d) The probability that an American chosen at random will die as the result of a tornado next year can be calculated by dividing the number of deaths due to tornadoes by the total population:
Probability = Number of deaths due to tornadoes / Total population
= 553 / 312 million
e) Similar to the previous questions, the probability that you will die as the result of a tornado next year depends on your specific circumstances, including your geographical location and exposure to tornado-prone areas.
Please note that these calculations assume the given number of deaths and population size are constant and accurate. In reality, probabilities can vary due to various factors that affect such events, and it's essential to consider other relevant factors when assessing personal risks.
a) To find the probability that an American chosen at random died as a passenger car occupant last year, divide the number of deaths due to passenger car accidents (13,100) by the total population of the United States (312 million):
Probability = (Number of deaths due to passenger car accidents) / (Total population of the United States)
Probability = 13,100 / 312,000,000
b) To calculate the probability that you died as a passenger car occupant last year, you would need to provide personal information such as your age, location, and driving habits. The given data does not allow for a specific calculation of personal probabilities.
c) Similarly, to determine the probability that you will die as a passenger car occupant next year, personal information specific to your circumstances would be required. The given data does not account for individual factors, so a specific probability cannot be calculated.
d) To find the probability that an American chosen at random will die as the result of a tornado next year, divide the number of deaths due to tornadoes (553) by the total population of the United States (312 million):
Probability = (Number of deaths due to tornadoes) / (Total population of the United States)
Probability = 553 / 312,000,000
e) Similarly, to determine the probability that you will die as the result of a tornado next year, personal information would be needed to assess your specific risk factors. The given data does not provide the necessary details, so a specific probability cannot be calculated.