JEE Exam  >  JEE Questions  >  In a book of 500 pages, it is found that ther... Start Learning for Free
In a book of 500 pages, it is found that there are 250 typing errors. Assume that Poisson law holds for the number of errors per page. Then, the probability that a random sample of 2 pages will contain no error is
  • a)
    e−0⋅3
  • b)
    e−0⋅5
  • c)
    e−1
  • d)
    e−2
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In a book of 500 pages, it is found that there are 250 typing errors. ...
Let X be the number of errors in a page. Then X follows a Poisson distribution with parameter λ, where λ is the average number of errors per page. We can estimate λ as:

λ = 250/500 = 0.5

Now, let Y be the number of errors in a random sample of 2 pages. Then Y follows a Poisson distribution with parameter 2λ, since the errors in different pages are independent. Hence, Y ~ Poisson(1).

The probability that a random sample of 2 pages will contain no error is the probability that Y = 0:

P(Y = 0) = e^(-1) * 1^0 / 0! = e^(-1) = 0.3679

Therefore, the answer is (a) 0.3679.
Explore Courses for JEE exam
In a book of 500 pages, it is found that there are 250 typing errors. Assume that Poisson law holds for the number of errors per page. Then, the probability that a random sample of 2 pages will contain no error isa)e−0⋅3b)e−0⋅5c)e−1d)e−2Correct answer is option 'C'. Can you explain this answer?
Question Description
In a book of 500 pages, it is found that there are 250 typing errors. Assume that Poisson law holds for the number of errors per page. Then, the probability that a random sample of 2 pages will contain no error isa)e−0⋅3b)e−0⋅5c)e−1d)e−2Correct answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In a book of 500 pages, it is found that there are 250 typing errors. Assume that Poisson law holds for the number of errors per page. Then, the probability that a random sample of 2 pages will contain no error isa)e−0⋅3b)e−0⋅5c)e−1d)e−2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a book of 500 pages, it is found that there are 250 typing errors. Assume that Poisson law holds for the number of errors per page. Then, the probability that a random sample of 2 pages will contain no error isa)e−0⋅3b)e−0⋅5c)e−1d)e−2Correct answer is option 'C'. Can you explain this answer?.
Solutions for In a book of 500 pages, it is found that there are 250 typing errors. Assume that Poisson law holds for the number of errors per page. Then, the probability that a random sample of 2 pages will contain no error isa)e−0⋅3b)e−0⋅5c)e−1d)e−2Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of In a book of 500 pages, it is found that there are 250 typing errors. Assume that Poisson law holds for the number of errors per page. Then, the probability that a random sample of 2 pages will contain no error isa)e−0⋅3b)e−0⋅5c)e−1d)e−2Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of In a book of 500 pages, it is found that there are 250 typing errors. Assume that Poisson law holds for the number of errors per page. Then, the probability that a random sample of 2 pages will contain no error isa)e−0⋅3b)e−0⋅5c)e−1d)e−2Correct answer is option 'C'. Can you explain this answer?, a detailed solution for In a book of 500 pages, it is found that there are 250 typing errors. Assume that Poisson law holds for the number of errors per page. Then, the probability that a random sample of 2 pages will contain no error isa)e−0⋅3b)e−0⋅5c)e−1d)e−2Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of In a book of 500 pages, it is found that there are 250 typing errors. Assume that Poisson law holds for the number of errors per page. Then, the probability that a random sample of 2 pages will contain no error isa)e−0⋅3b)e−0⋅5c)e−1d)e−2Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice In a book of 500 pages, it is found that there are 250 typing errors. Assume that Poisson law holds for the number of errors per page. Then, the probability that a random sample of 2 pages will contain no error isa)e−0⋅3b)e−0⋅5c)e−1d)e−2Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

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