Statistics and methodology

1:

In a certain field of construction work, the wages are assumed to follow a normal distribution, with an average wage of Rs. 4 per day and a standard deviation of Rs. 0.50. If 20 workers received wages of more than Rs. 4.50 per day, what is the total number of workers?

A.

126

B.

120

C.

130

D.

190

 

Answer : A

Explanation :

Z = (x - μ)/σ = (4.50 – 4.00)/0.50 = 1

Area to the right = 0.5 - 0.3413 = 0.1587

Therefore, the total number of workers is given by 0.1587/1.

N = 20

or      N = 20/0.1587 = 126

The total number of worker is 126.

Hence the answer is (a).

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Option: A

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