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Q.

The frequency distribution of 30 workers' salaries (in Rs.) from a particular factory is shown below:


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A worker is randomly selected. The probability that his salary is more than or equal to 150 but less than Rs. 210 is


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a

2 15  

b

7 30  

c

5 6  

d

8 15   

answer is D.

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Detailed Solution

Given a data about the salary of 30 workers.
Question ImageWe have to find the probability that his salary is more than or equal to 150 but less than Rs. 210.
Total number of workers in a company, n(S) = 30.
The probability of an event A is given by,
P(A)= Number of favourable outcomes Total number of outcomes  
Let C   be the event of getting a worker whose wages more than or equal to 150 but less than 210, then,
n(C) = n (workers with wages 150 – 170)+n(workers with wages 170 – 190) + n(workers with wages 190 – 210)
n(C)=5+6+5 n(C)=16  
The probability that the salary is more than or equal to 150 but less than 210 is given by,
P(C)= n(C) n(S) P(C)= 16 30 P(C)= 8 15  
Thus, the probability that his salary is more than or equal to 150    but less than 210 is 8 15  .
Hence, option 4 is correct.
 
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