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Moti Chandra Dasgupta
Asked: 2022-11-08T16:00:05+05:30 In:

Following frequency distribution gives the weights of 40 students of a class .
image
A student from the class is chosen at random . What is the probability that the weight of the chosen student is
(i) at most 60 kg (ii) at least 56 kg (iii) not more than 50 kg ?

Following frequency distribution gives the weights of 40 students of a class .
image
A student from the class is chosen at random . What is the probability that the weight of the chosen student is
(i) at most 60 kg (ii) at least 56 kg (iii) not more than 50 kg ?
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  1. Total number of students = 40.
    (i) Let `E_(1)` be the event of choosing a student whose weight is at most 50 kg . Then ,
    P(choosing a student whose weight is at most 60 kg)
    = `P(E_(1))`
    `= (“number of students whose weight is 60 kg or less”)/(“total number of students”)`
    `= (10 + 6 + 14 + 4 + 1 + 1)/(40) = (36)/(40) = (9)/(10)`.
    (ii) Let `E_(2)` be the event of choosing a student whose weight is at least 56 kg . then ,
    P(choosing a student whose weight is at least 56 kg)
    `= P(E_(2))`
    =`(“number of students whose weight is 56 kg or more”)/(“total number of students”)`
    `= (1 + 2 + 1+ 1)/(40) = (5)/(40) = (1)/(8)` .
    (iii) Let `E_(3)` be the event of choosing a student whose weight is not more than 50 kg . then ,
    P(choosing a student whose weight is not more than 50 kg)
    `= P(E_(3))`
    `= (“number of students whose weight is 50 kg or less”)/(“total number of students”)`
    `= (10 + 6 + 14+ 4)/(40) = (34)/(40) = (17)/(20)`.

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