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Same table as previous question) An insurance company selected 2000 drivers at random (i.e., without any preference of one driver over another) in a particular city to find a relationship between age and accidents.  The data obtained are given in the following table: Age of drivers (in years) Accidents in one year 0 1 2 3 Over 3 18-29 440 160 110 61 35 30-50 480 125 85 22 18 Above 50 360 45 35 15 9 A driver of age above 50 is selected at random. What is the probability that the driver has 2 or more accidents in a year?

Question

Same table as previous question) An insurance company selected 2000 drivers at random (i.e., without any preference of one driver over another) in a particular city to find a relationship between age and accidents.  The data obtained are given in the following table: Age of drivers (in years) Accidents in one year 0 1 2 3 Over 3 18-29 440 160 110 61 35 30-50 480 125 85 22 18 Above 50 360 45 35 15 9 A driver of age above 50 is selected at random. What is the probability that the driver has 2 or more accidents in a year?

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Solution

To find the probability that a driver of age above 50 has 2 or more accidents in a year, we need to consider the total number of drivers in this age group and the number of drivers who have 2 or more accidents.

From the given table, we can see that there are a total of 360 drivers in the above 50 age group. The number of drivers in this age group who have 2 or more accidents is the sum of the values in the "Accidents in one year" column for the "Above 50" row, which is 35 + 15 + 9 = 59.

Therefore, the probability that a driver of age above 50 has 2 or more accidents in a year can be calculated by dividing the number of drivers with 2 or more accidents (59) by the total number of drivers in the above 50 age group (360):

Probability = Number of drivers with 2 or more accidents / Total number of drivers in the above 50 age group = 59 / 360 ≈ 0.164

So, the probability that a driver of age above 50 has 2 or more accidents in a year is approximately 0.164.

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