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Example 8 - An insurance company selected 2000 drivers - Grouped frequency

Example 8 - Chapter 15 Class 9 Probability - Part 2

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Example 8 - Chapter 15 Class 9 Probability - Part 3
Example 8 - Chapter 15 Class 9 Probability - Part 4

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Example 8 - Chapter 15 Class 9 Probability - Part 5
Example 8 - Chapter 15 Class 9 Probability - Part 6

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Transcript

Example 8 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: Find the probabilities of the following events for a driver chosen at random from the city: being 18-29 years of age and having exactly 3 accidents in one year. Total number of drivers = 2000. Number of drivers who are 18 – 29 years old and have exactly 3 accidents in one year = 61. P (driver is 18 – 29 years old with exactly 3 accidents) = (𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑑𝑟𝑖𝑣𝑒𝑟𝑠 𝑤ℎ𝑜 𝑎𝑟𝑒 18 − 29 𝑦𝑒𝑎𝑟𝑠 𝑜𝑙𝑑 𝑎𝑛𝑑 ℎ𝑎𝑣𝑒 𝑒𝑥𝑎𝑐𝑡𝑙𝑦 3 𝑎𝑐𝑐𝑖𝑑𝑒𝑛𝑡𝑠 𝑖𝑛 𝑜𝑛𝑒 𝑦𝑒𝑎𝑟)/(𝑇𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑑𝑟𝑖𝑣𝑒𝑟𝑠) = 61/2000 = 0.305 Example 8 Find the probabilities of the following events for a driver chosen at random from the city: (ii) being 30 - 50 years of age and having one or more accidents in a year. Total number of drivers = 2000. Number of drivers 30 – 50 years of age and having one or more accidents in one year = 125 + 60 + 22 + 18 = 225 P (30 – 50 years of age and having one or more accidents) = █(𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑑𝑟𝑖𝑣𝑒𝑟𝑠 𝑤ℎ𝑜 𝑎𝑟𝑒 30 − 50 𝑦𝑒𝑎𝑟𝑠 𝑜𝑓 𝑎𝑔𝑒 𝑎𝑛𝑑 ℎ𝑎𝑣𝑖𝑛𝑔 @𝑜𝑛𝑒 𝑜𝑟 𝑚𝑜𝑟𝑒 𝑎𝑐𝑐𝑖𝑑𝑒𝑛𝑡𝑠 𝑖𝑛𝑜𝑛𝑒 𝑦𝑒𝑎𝑟)/(𝑇𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑑𝑟𝑖𝑣𝑒𝑟𝑠) = 225/2000 = 0.1125 Example 8 Find the probabilities of the following events for a driver chosen at random from the city: (iii) having no accidents in one year. Total number of drivers = 2000. The number of drivers having no accidents in one year = 440 + 505 + 360 = 1305 P (driver having no accidents in a year) =(𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑑𝑟𝑖𝑣𝑒𝑟𝑠 𝑤ℎ𝑜 ℎ𝑎𝑣𝑒 𝑛𝑜 𝑎𝑐𝑐𝑖𝑑𝑒𝑛𝑡𝑠 𝑖𝑛 𝐴 𝑦𝑒𝑎𝑟)/(𝑇𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑑𝑟𝑖𝑣𝑒𝑟𝑠) = 1305/2000 = 0.653

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.