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 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?

Answer 1

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.

Answer 2

The probability that American choosen at random died as passenger car occupant last year is 0.000042

How to calculate the probability?

The probability of death of any person will be:

= Number of death as passenger car occupant / Total population of Americans

= 13100 / 312,000,000 = 4.2 * 10-5

= 0.000042

The probability of my survival this year:

= (Total population - Total death)/ (Total Population) = 311,981,791/312,000,000

= 0.9999416

The probability of death due to Passenger Car occupant next Year will be:

= (probability of survival)*(probability of death due to passenger car occupant)

= 0.9999416*0.000042 = 4.199*10-5

= 0.00004199

The probability of death due to Tornado in next year will be:

= (Probability of survival in this year)*( Probability of death due to Tornado)

= 0.9999416*(553)/ 312,000,000

= 0.00000177

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