According to the most recent National Vital Statistics Report (data is for 2011)

Question

According to the most recent National Vital Statistics Report (data is for 2011) the following table provides information about the number of accidental deaths by age and specific type in the United States.

a) A person who died accidentally in the United States in 2011 is randomly selected. Find the probability that
i. the person was at least 35 years old.

ii. the cause of death was something other then poisoning, a fall, or a motor vehicle accident.

iii. the cause of death was from a fall given that they were under 35 years old.

iv. the cause of death was from a fall given that they were at least 85 years old.

v. The person was at least 85 years old given that they died from a fall.

b) Using only the results from part a, explain whether age and cause of death are independent.

c) Using the figures in the table, can you determine the probability that a person selected randomly from the U.S. population was between the ages of 25-34 and had a fatal motor vehicle accident in 2011. If yes, find the probability. If no, explain what additional information is needed.

34506 90460 45378-59423 002 1 594644834 5-8-0-7-2 501893041 816160790 108 46 59764643213 8 080984311 A05313451954 4335271001 2 5 5 0 5 0 4 92 142 3 4 5 6 7 8 + t 12345678-T

Explanation / Answer

ii.) The total number of death due to different types of reason are sum of all the totals that is 228191.

Out of that 191917 people died due to other reason than poisoning.

Therefore, probability of the event is 191917/228191=0.84

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