Probability of Death from Automobile Accidents: CFA Level 1 Exam Prep

Probability of Death from Automobile Accidents

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Question

The National Center for Health Statistics reported that of every 883 deaths in recent years, 24 resulted from an automobile accident, 182 from cancer and 333 from heart disease. Using the relative frequency approach, what is the probability that a particular death is due to an automobile accident?

Answers

Explanations

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A. B. C. D. E.

Explanation

The probability is the number of automobile deaths divided by the total number of deaths.

To calculate the probability that a particular death is due to an automobile accident using the relative frequency approach, we need to divide the number of deaths resulting from automobile accidents by the total number of deaths.

According to the information provided, out of every 883 deaths, 24 resulted from an automobile accident. Therefore, the probability can be calculated as:

Probability = Number of deaths from automobile accidents / Total number of deaths

Probability = 24 / 883

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 1 in this case.

Probability = 24 / 883

Thus, the probability that a particular death is due to an automobile accident is 24/883, which is approximately 0.027 or 2.7%.

Therefore, the correct answer is option C: 24/883 or 0.027.

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