CA Foundation Exam  >  CA Foundation Questions  >  If the weekly of 5000 workers in a factory fo... Start Learning for Free
 If the weekly of 5000 workers in a factory follows normal distribution with mean and SD as Rs.700 and Rs.50 respectively, what is the expected number of workers with wages between Rs.660 and Rs.720?
  • a)
    2,050
  • b)
    2,200
  • c)
    2,218
  • d)
    2,300
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If the weekly of 5000 workers in a factory follows normal distribution...
The correct answer after solving is 2218.
View all questions of this test
Most Upvoted Answer
If the weekly of 5000 workers in a factory follows normal distribution...
Given, mean (μ) = Rs. 700, standard deviation (σ) = Rs. 50

We need to find the number of workers with wages between Rs. 660 and Rs. 720.

Let X be the random variable denoting the wages of the workers.

We need to find P(660 < x="" />< 720),="" which="" is="" the="" probability="" of="" x="" lying="" between="" rs.="" 660="" and="" rs.="" />

Using the standard normal distribution table or calculator, we can find the z-scores for these values:

z1 = (660 - 700) / 50 = -0.8
z2 = (720 - 700) / 50 = 0.4

P(660 < x="" />< 720)="P(-0.8" />< z="" />< />

Using the standard normal distribution table or calculator, we can find the probability corresponding to these z-scores:

P(-0.8 < z="" />< 0.4)="0.6554" -="" 0.2119="" />

Therefore, the expected number of workers with wages between Rs. 660 and Rs. 720 is:

Expected number = 5000 * P(660 < x="" />< 720)="5000" *="" 0.4435="" />

Hence, the correct answer is option (c) 2,218.
Free Test
Community Answer
If the weekly of 5000 workers in a factory follows normal distribution...
2218
Explore Courses for CA Foundation exam
If the weekly of 5000 workers in a factory follows normal distribution with mean and SD as Rs.700 and Rs.50 respectively, what is the expected number of workers with wages between Rs.660 and Rs.720?a)2,050b)2,200c)2,218d)2,300Correct answer is option 'C'. Can you explain this answer?
Question Description
If the weekly of 5000 workers in a factory follows normal distribution with mean and SD as Rs.700 and Rs.50 respectively, what is the expected number of workers with wages between Rs.660 and Rs.720?a)2,050b)2,200c)2,218d)2,300Correct answer is option 'C'. 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 If the weekly of 5000 workers in a factory follows normal distribution with mean and SD as Rs.700 and Rs.50 respectively, what is the expected number of workers with wages between Rs.660 and Rs.720?a)2,050b)2,200c)2,218d)2,300Correct answer is option 'C'. 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 If the weekly of 5000 workers in a factory follows normal distribution with mean and SD as Rs.700 and Rs.50 respectively, what is the expected number of workers with wages between Rs.660 and Rs.720?a)2,050b)2,200c)2,218d)2,300Correct answer is option 'C'. Can you explain this answer?.
Solutions for If the weekly of 5000 workers in a factory follows normal distribution with mean and SD as Rs.700 and Rs.50 respectively, what is the expected number of workers with wages between Rs.660 and Rs.720?a)2,050b)2,200c)2,218d)2,300Correct answer is option 'C'. 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 If the weekly of 5000 workers in a factory follows normal distribution with mean and SD as Rs.700 and Rs.50 respectively, what is the expected number of workers with wages between Rs.660 and Rs.720?a)2,050b)2,200c)2,218d)2,300Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If the weekly of 5000 workers in a factory follows normal distribution with mean and SD as Rs.700 and Rs.50 respectively, what is the expected number of workers with wages between Rs.660 and Rs.720?a)2,050b)2,200c)2,218d)2,300Correct answer is option 'C'. Can you explain this answer?, a detailed solution for If the weekly of 5000 workers in a factory follows normal distribution with mean and SD as Rs.700 and Rs.50 respectively, what is the expected number of workers with wages between Rs.660 and Rs.720?a)2,050b)2,200c)2,218d)2,300Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of If the weekly of 5000 workers in a factory follows normal distribution with mean and SD as Rs.700 and Rs.50 respectively, what is the expected number of workers with wages between Rs.660 and Rs.720?a)2,050b)2,200c)2,218d)2,300Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If the weekly of 5000 workers in a factory follows normal distribution with mean and SD as Rs.700 and Rs.50 respectively, what is the expected number of workers with wages between Rs.660 and Rs.720?a)2,050b)2,200c)2,218d)2,300Correct answer is option 'C'. 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