1.

Given below is the frequency distribution of wages (in Rs.) of 30 workers in a certain factory :Wages (in Rs.)110-130130-150150-170170-190190-210210-230230-250No. of workers3456543A worker is selected at random. Find the probability that his wages are :(i) less than Rs. 150(ii) at least Rs. 210(iii) more than or equal to 150 but less than Rs. 210.

Answer»

Given,

Total number of workers = 30

(i) Probability that his wages are less than rs 150 \(=\frac{favourable\,outcome}{total\,outcome}\) \(=\frac{3+4}{30}=\frac{7}{30}\)

(ii) Probability that his wages are at least rs 210 \(=\frac{favourable\,outcome}{total\,outcome}\) \(=\frac{3+4}{30}=\frac{7}{30}\)

(iii) Probability that his wages are more than or equals to rs 150 but less than rs 200 \(=\frac{favourable\,outcome}{total\,outcome}\) \(=\frac{5+6+5}{30}=\frac{16}{30}=\frac{8}{15}\)

An Elementary Event is any single outcome or element of a sample space.



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