GATE CSE
First time here? Checkout the FAQ!
x
+1 vote
48 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 (1.3k points)   | 48 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 (1.3k points)  
selected by

Related questions

+3 votes
1 answer
1
asked in Probability by Anirban Biswas Active (1.3k points)   | 89 views
+1 vote
1 answer
2
asked in Mathematical Logic by Anusha Motamarri Boss (9.7k points)   | 214 views
Top Users Jan 2017
  1. Debashish Deka

    8968 Points

  2. sudsho

    5326 Points

  3. Habibkhan

    4798 Points

  4. Bikram

    4532 Points

  5. Vijay Thakur

    4486 Points

  6. saurabh rai

    4222 Points

  7. Arjun

    4196 Points

  8. santhoshdevulapally

    3808 Points

  9. Sushant Gokhale

    3596 Points

  10. Kapil

    3486 Points

Monthly Topper: Rs. 500 gift card

19,212 questions
24,104 answers
53,152 comments
20,319 users