Probabilities from grouped mass data

Probabilities from grouped mass data

Secondary 2
3 marks
TGM Original Questions

Each object in the stated selection population is equally likely to be selected.

The masses of 50 students are grouped as follows: \(35<x\le40:7\), \(40<x\le45:18\), \(45<x\le50:13\), \(50<x\le55:8\), \(55<x\le60:4\). Find the probability that a selected student has mass

  1. at most 35 kg,[1]
  2. not more than 45 kg,[1]
  3. more than 40 kg but not more than 55 kg.[1]

Solution:

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Answer:(i) \(0\) (ii) \(\frac{1}{2}\) (iii) \(\frac{39}{50}\).

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