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


  1. Chapter 15 Class 9 Probability
  2. Serial order wise

Transcript

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) = (๐‘๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘’๐‘›๐‘”๐‘–๐‘›๐‘’๐‘’๐‘Ÿ๐‘  ๐‘™๐‘–๐‘ฃ๐‘–๐‘›๐‘” ๐‘™๐‘’๐‘ ๐‘  ๐‘กโ„Ž๐‘Ž๐‘› 7๐‘˜๐‘š ๐‘“๐‘Ÿ๐‘œ๐‘š โ„Ž๐‘’๐‘Ÿ ๐‘๐‘™๐‘Ž๐‘๐‘’ ๐‘œ๐‘“ ๐‘ค๐‘œ๐‘Ÿ๐‘˜)/(๐‘‡๐‘œ๐‘ก๐‘Ž๐‘™ ๐‘›๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘’๐‘›๐‘”๐‘–๐‘›๐‘’๐‘’๐‘Ÿ๐‘ ) = 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 โ€“ 9 = 31 P(engineer lives less than 7 km from her place of work) = (๐‘๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘’๐‘›๐‘”๐‘–๐‘›๐‘’๐‘’๐‘Ÿ๐‘  ๐‘™๐‘–๐‘ฃ๐‘–๐‘›๐‘” ๐‘™๐‘’๐‘ ๐‘  ๐‘กโ„Ž๐‘Ž๐‘› 7๐‘˜๐‘š ๐‘“๐‘Ÿ๐‘œ๐‘š โ„Ž๐‘’๐‘Ÿ ๐‘๐‘™๐‘Ž๐‘๐‘’ ๐‘œ๐‘“ ๐‘ค๐‘œ๐‘Ÿ๐‘˜)/(๐‘‡๐‘œ๐‘ก๐‘Ž๐‘™ ๐‘›๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘’๐‘›๐‘”๐‘–๐‘›๐‘’๐‘’๐‘Ÿ๐‘ ) = 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 โ€“ P(engineer lives less than 7 km from her place of work) = 1 โ€“ 9/40 = (40 โˆ’ 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) within 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) =(๐‘๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘’๐‘›๐‘”๐‘–๐‘›๐‘’๐‘’๐‘Ÿ๐‘  ๐‘™๐‘–๐‘ฃ๐‘–๐‘›๐‘” ๐‘ค๐‘–๐‘กโ„Ž๐‘–๐‘› 1/2 ๐‘˜๐‘š ๐‘“๐‘Ÿ๐‘œ๐‘š ๐‘กโ„Ž๐‘’๐‘–๐‘Ÿ ๐‘๐‘™๐‘Ž๐‘๐‘’ ๐‘œ๐‘“ ๐‘ค๐‘œ๐‘Ÿ๐‘˜)/(๐‘‡๐‘œ๐‘ก๐‘Ž๐‘™ ๐‘›๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘’๐‘›๐‘”๐‘–๐‘›๐‘’๐‘’๐‘Ÿ๐‘ ) = 0/40 = 0

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.