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Question

Following frequency distribution gives the weights of the students of a class.

Weight(in kg)313536404145465051555660616566707175Number of students36139117421

Find the probability of

(i) choosing a student at random whose weight is atmost 40kg

(ii) choosing a student at random whose weight is greater than 40kg but less than 60kg

(iii) choosing a student at random whose weight is greater than 60kg [3 MARKS]

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Solution


Solution: [1 Mark each]




Total number of students = 56
Probability of picking a student whose weight is less than or equal to 40 = (3+6)56 = 9/56
Probability of picking a student whose weight is greater than 40 and not greater than 60 = (13+9+11+7)56 = 40/56 = 5/7
Probability of picking a student whose weight is greater than 60 = (4+2+1)56 = 7/56 = 1/8.


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