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Ex  15.1, 8 - The distance of 40 engineers from their - Ex 15.1


  1. Chapter 15 Class 9 Probability
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Ex15.1, 8 The distance (in km) of 40 engineers from their residence to their place of work were found as follows. What is the empirical probability that an engineer lives: less than 7 km from her place of work? Total number of engineers = 40 Number of engineers living less than 7 km from their place of work = 9 P(engineer lives less than 7 km from her place of work) = (π‘π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘’π‘›π‘”π‘–π‘›π‘’π‘’π‘Ÿπ‘  𝑙𝑖𝑣𝑖𝑛𝑔 𝑙𝑒𝑠𝑠 π‘‘β„Žπ‘Žπ‘› 7π‘˜π‘š π‘“π‘Ÿπ‘œπ‘š β„Žπ‘’π‘Ÿ π‘π‘™π‘Žπ‘π‘’ π‘œπ‘“ π‘€π‘œπ‘Ÿπ‘˜)/(π‘‡π‘œπ‘‘π‘Žπ‘™ π‘›π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘’π‘›π‘”π‘–π‘›π‘’π‘’π‘Ÿπ‘ ) = 9/40 Ex15.1, 8 (Method 1) The distance (in km) of 40 engineers from their residence to their place of work were found as follows. What is the empirical probability that an engineer lives: (ii) more than or equal to 7 km from her place of work? Total number of engineers = 40 Number of engineers living more than or equal to 7 km from their place of work = 40 – 9 = 31 P(engineer lives less than 7 km from her place of work) = (π‘π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘’π‘›π‘”π‘–π‘›π‘’π‘’π‘Ÿπ‘  𝑙𝑖𝑣𝑖𝑛𝑔 𝑙𝑒𝑠𝑠 π‘‘β„Žπ‘Žπ‘› 7π‘˜π‘š π‘“π‘Ÿπ‘œπ‘š β„Žπ‘’π‘Ÿ π‘π‘™π‘Žπ‘π‘’ π‘œπ‘“ π‘€π‘œπ‘Ÿπ‘˜)/(π‘‡π‘œπ‘‘π‘Žπ‘™ π‘›π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘’π‘›π‘”π‘–π‘›π‘’π‘’π‘Ÿπ‘ ) = 31/40 Ex15.1, 8 (Method 2) The distance (in km) of 40 engineers from their residence to their place of work were found as follows. What is the empirical probability that an engineer lives: (ii) more than or equal to 7 km from her place of work? P(engineer lives more than or equal to 7 km from her place of work) = 1 – P(engineer lives less than 7 km from her place of work) = 1 – 9/40 = (40 βˆ’ 9)/40 = 31/40 Ex15.1, 8 The distance (in km) of 40 engineers from their residence to their place of work were found as follows. What is the empirical probability that an engineer lives: (iii) withinΒ 1/2 km from her place of work? Total number of engineers = 40 Number of engineers living within 1/2 km from their place of work = 0 P(engineer living within 1/2 km from their place of work) =(π‘π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘’π‘›π‘”π‘–π‘›π‘’π‘’π‘Ÿπ‘  𝑙𝑖𝑣𝑖𝑛𝑔 π‘€π‘–π‘‘β„Žπ‘–π‘› 1/2 π‘˜π‘š π‘“π‘Ÿπ‘œπ‘š π‘‘β„Žπ‘’π‘–π‘Ÿ π‘π‘™π‘Žπ‘π‘’ π‘œπ‘“ π‘€π‘œπ‘Ÿπ‘˜)/(π‘‡π‘œπ‘‘π‘Žπ‘™ π‘›π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘’π‘›π‘”π‘–π‘›π‘’π‘’π‘Ÿπ‘ ) = 0/40 = 0

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
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