GATE CSE
First time here? Checkout the FAQ!
x
+2 votes
90 views
If 20 markers are drawn from a large number of markers in which 10% are red markers. What is the probability that the number of red markers drawn exceeds the expected number of red markers. (Use Poisson approximation and Binomial theorem). (Upto 3 decimal places)
asked in Probability by Active (1.4k points) 27 79 | 90 views

1 Answer

+1 vote
Best answer

P= {\displaystyle {\frac {\lambda ^{k}e^{-\lambda }}{k!}}}

\lambda = np

Here n=20 and p=0.1

so , \lambda=2

Now probability the number of red markers drawn exceeds the expected number of red markers (K>2)

=1-P(k=0)-P(k=1)-P(k=2)

After putting values ,

P(k>2)=1-[(1+2+2)/e-2]

=1-0.68

=0.32

 

answered by Active (2.4k points) 3 16 43
selected by

Related questions

+1 vote
0 answers
1
asked in Probability by Pankaj Joshi Loyal (3.2k points) 5 47 98 | 141 views
+3 votes
1 answer
2
asked in Probability by Anirban Biswas Active (1.4k points) 27 79 | 140 views


Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true
Top Users Oct 2017
  1. Arjun

    23398 Points

  2. Bikram

    17078 Points

  3. Habibkhan

    8280 Points

  4. srestha

    6300 Points

  5. Debashish Deka

    5438 Points

  6. jothee

    4978 Points

  7. Sachin Mittal 1

    4772 Points

  8. joshi_nitish

    4348 Points

  9. sushmita

    3970 Points

  10. Rishi yadav

    3804 Points


Recent Badges

Commentator Shivam Chauhan
Notable Question set2018
Nice Comment srestha
Notable Question set2018
Regular Shankar Jha
Popular Question Shubhanshu
Good Comment mcjoshi
Notable Question antarachoudhury
Popular Question shweta12345
Good Comment Rohan Mundhey
27,325 questions
35,176 answers
84,121 comments
33,280 users