Given below is the frequency distribution of wages (in ₹) of 50 workers in a school.

A worker is selected at random, find the probability that his wages are

(i) less than ₹120 (ii) at least ₹ 130. (iii) more than or equal to ₹120.

### Asked by rupanshikaushik22 | 19th Sep, 2020, 04:56: PM

Expert Answer:

### (i)
Total number of workers with wages less than rs. 120 is 12+8 = 20
So, the worker selected must amongst these 20 workers
Therefore, probability(less than rs. 120) = 20/50 = 2/5
(ii)
Total number of workers with wages less than rs. 130 is 12+8+15 = 35
So, the worker selected must amongst these 35 workers
Therefore, probability(less than rs. 130) = 35/50 = 7/10
(iii)
Therefore, probability(more than or equal to rs. 120) = 1 - P(less than rs. 120) = 1 - 2/5 = 3/5

(ii)

Total number of workers with wages less than rs. 130 is 12+8+15 = 35

So, the worker selected must amongst these 35 workers

Therefore, probability(less than rs. 130) = 35/50 = 7/10

(iii)

Therefore, probability(more than or equal to rs. 120) = 1 - P(less than rs. 120) = 1 - 2/5 = 3/5

### Answered by Renu Varma | 23rd Sep, 2020, 07:52: PM

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