CA Foundation Exam  >  CA Foundation Questions  >  The salary of workers of a factory is known t... Start Learning for Free
The salary of workers of a factory is known to follow normal distribution with an average salary of Rs.10,000 and standard deviation of salary as Rs.2,000. If 50 workers receiver salary more than Rs.14,000, then the total no. of workers in the factory is 
  • a)
    2,193
  • b)
    2,000
  • c)
    2,200
  • d)
    2,500
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The salary of workers of a factory is known to follow normal distribut...
Given data:
Average salary (μ) = Rs.10,000
Standard deviation (σ) = Rs.2,000

Let X be the salary of a worker in the factory. Then,

X ~ N(10000, 2000^2)

To find the number of workers receiving a salary more than Rs.14,000, we need to find the probability of X > 14000.

P(X > 14000) = P(Z > (14000-10000)/2000) [where Z is the standard normal variable]

= P(Z > 2)

= 0.0228 (from standard normal table)

Now, we are given that 50 workers receive a salary more than Rs.14,000. Let the total number of workers in the factory be N.

Then, the number of workers receiving a salary less than or equal to Rs.14,000 is N - 50.

Using the normal distribution, we can write:

P(X ≤ 14000) = P(Z ≤ (14000-10000)/2000)

= P(Z ≤ 2)

= 0.9772

We know that the area under the normal curve is equal to 1. Hence,

P(X ≤ 14000) + P(X > 14000) = 1

0.9772 + 0.0228 = 1

So, the proportion of workers receiving a salary less than or equal to Rs.14,000 is 0.9772.

Therefore, (N - 50)/N = 0.9772

Solving for N, we get N = 2193.

Hence, the total number of workers in the factory is 2193.

Therefore, the correct option is (a) 2,193.
Free Test
Community Answer
The salary of workers of a factory is known to follow normal distribut...
Explore Courses for CA Foundation exam
The salary of workers of a factory is known to follow normal distribution with an average salary of Rs.10,000 and standard deviation of salary as Rs.2,000. If 50 workers receiver salary more than Rs.14,000, then the total no. of workers in the factory isa)2,193b)2,000c)2,200d)2,500Correct answer is option 'A'. Can you explain this answer?
Question Description
The salary of workers of a factory is known to follow normal distribution with an average salary of Rs.10,000 and standard deviation of salary as Rs.2,000. If 50 workers receiver salary more than Rs.14,000, then the total no. of workers in the factory isa)2,193b)2,000c)2,200d)2,500Correct answer is option 'A'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The salary of workers of a factory is known to follow normal distribution with an average salary of Rs.10,000 and standard deviation of salary as Rs.2,000. If 50 workers receiver salary more than Rs.14,000, then the total no. of workers in the factory isa)2,193b)2,000c)2,200d)2,500Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The salary of workers of a factory is known to follow normal distribution with an average salary of Rs.10,000 and standard deviation of salary as Rs.2,000. If 50 workers receiver salary more than Rs.14,000, then the total no. of workers in the factory isa)2,193b)2,000c)2,200d)2,500Correct answer is option 'A'. Can you explain this answer?.
Solutions for The salary of workers of a factory is known to follow normal distribution with an average salary of Rs.10,000 and standard deviation of salary as Rs.2,000. If 50 workers receiver salary more than Rs.14,000, then the total no. of workers in the factory isa)2,193b)2,000c)2,200d)2,500Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CA Foundation. Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of The salary of workers of a factory is known to follow normal distribution with an average salary of Rs.10,000 and standard deviation of salary as Rs.2,000. If 50 workers receiver salary more than Rs.14,000, then the total no. of workers in the factory isa)2,193b)2,000c)2,200d)2,500Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The salary of workers of a factory is known to follow normal distribution with an average salary of Rs.10,000 and standard deviation of salary as Rs.2,000. If 50 workers receiver salary more than Rs.14,000, then the total no. of workers in the factory isa)2,193b)2,000c)2,200d)2,500Correct answer is option 'A'. Can you explain this answer?, a detailed solution for The salary of workers of a factory is known to follow normal distribution with an average salary of Rs.10,000 and standard deviation of salary as Rs.2,000. If 50 workers receiver salary more than Rs.14,000, then the total no. of workers in the factory isa)2,193b)2,000c)2,200d)2,500Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of The salary of workers of a factory is known to follow normal distribution with an average salary of Rs.10,000 and standard deviation of salary as Rs.2,000. If 50 workers receiver salary more than Rs.14,000, then the total no. of workers in the factory isa)2,193b)2,000c)2,200d)2,500Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The salary of workers of a factory is known to follow normal distribution with an average salary of Rs.10,000 and standard deviation of salary as Rs.2,000. If 50 workers receiver salary more than Rs.14,000, then the total no. of workers in the factory isa)2,193b)2,000c)2,200d)2,500Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice CA Foundation tests.
Explore Courses for CA Foundation exam

Top Courses for CA Foundation

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev