he 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.
table:
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?
To find the probability that an American chosen at random died as a passenger car occupant last year, we need to divide the number of deaths due to passenger car accidents by the total population of the United States.
Probability = Number of deaths due to passenger car accidents / Total population
Number of deaths due to passenger car accidents = 13,100
Total population of the United States = 312 million
Probability = 13,100 / 312,000,000
Calculating this, we get:
Probability ≈ 0.00004198
Therefore, the probability that an American chosen at random died as a passenger car occupant last year is approximately 0.00004198.
To find the probability that an American chosen at random died as a passenger car occupant last year, we first need to calculate the total number of deaths in the U.S. last year.
From the given table, we can see that the number of deaths as a passenger car occupant is 13,100.
To calculate the probability, we use the formula:
Probability = Number of favorable outcomes / Total number of outcomes
In this case, the number of favorable outcomes is the number of deaths as a passenger car occupant, which is 13,100.
The total number of outcomes is the total number of deaths in the U.S. last year, which we need to calculate.
To calculate the total number of deaths, we sum up the number of deaths from each cause given in the table:
Total number of deaths = Number of deaths as a passenger car occupant + Number of deaths as a motorcycle driver + Number of deaths from tornadoes + Number of deaths from skydiving
Total number of deaths = 13,100 + 4,500 + 553 + 56
Total number of deaths = 18,209
Now we can substitute these values into the formula:
Probability = Number of favorable outcomes / Total number of outcomes
Probability = 13,100 / 18,209
Probability ≈ 0.719
Therefore, the probability that an American chosen at random died as a passenger car occupant last year is approximately 0.719, or 71.9%.