34. The weights of 60 persons in a group are given below:
Weight (in kg) 60 61 62 63 64 65
Number of persons 5 18 4 16 5 12
Find the probability that a person selected at random has :
(i) weight less than 65 kg
(ii) weight between 61 and 64 kg
(iii) weight equal to or more than 64 kg
Answers
( i ) Weight less than 65 kg = 0.8
( ii ) Weight between 61 kg and 64 kg = 0.72
( iii ) Weight equal to or more than 64 kg = 0.28 ( or ) 0.3
Given
Weight of the persons ( in Kg ) 60 61 62 63 64 65
Number of persons 5 18 4 16 5 12
Total of number of persons = 5 + 18 + 4 + 16 + 5 + 12
= 60.
( i ) Weight less than 65 kg -----> ( A ) :
A = Persons whose weight less than 65 kg / Total of number of persons
Persons whose weight less than 65 kg = 5 + 18 + 4 + 16 + 5
= 48
A = 48 / 60
Weight less than 65 kg = 0.8
( ii ) Weight between 61 kg and 64 kg -----> ( B ) :
B = Persons whose weight between 61 kg and 64 kg / Total of number of persons
Persons whose weight between 61 kg and 64 kg = 18 + 4 + 16 + 5
= 43
B = 43 / 60
Weight between 61 kg and 64 kg = 0.72
( iii ) Weight equal to or more than 64 kg -----> ( C ) :
C = Persons whose weight equal to or more than 64 kg / Total of number of persons
Persons whose weight equal to or more than 64 kg = 5 + 12
= 17
C = 17 / 60
Weight equal to or more than 64 kg = 0.28 ( or ) 0.3
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