Consider the following frequency distribution which gives the weight of 38 students
of a class
Weights (in kg) 31-35 36-40 41-45 46-50 51-55 56-60 61-65 66-70 Total
No. of students 9 5 14 3 1 2 2 2 38
(a) Find the probability that the weight of a student in the class lies between 36-45 kg.
(b) Give 2 events in the context, one having probability O and the other having
probability 1.
Answers
Step-by-step explanation:
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Answer:
(a) 0.5
Step-by-step explanation:
We are given the following frequency distribution which gives the weight of 38 students of a class;
Weights (in Kg) No. of students
31 - 35 9
36 - 40 5
41 - 45 14
46 - 50 3
51 - 55 1
56 - 60 2
61 - 65 2
66 - 70 2
Total = 38
(a) Probability that the weight of a student in the class lies between 36-45 kg = (No. of students weighing between 36-45 kg) ÷ Total no. of students
= (5 + 14) ÷ 38 = 19 ÷ 38 = 0.5
(b) Event having probability 0 = Probability that weight of student is below 30 kg.
Event having probability 1 = Probability that weight of student is between 31 - 70 kg.