AP EAMCET2006MathematicsProbability
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 :
Options
- Ae^ -0.3
- Be^ -0.5
- Ce⁻¹
- De⁻²
Correct answer
C. e⁻¹
Step-by-step solution
Here number of errors per page = 250 500 = 1 2 and n=2 =n p=2 1 2 =1 and probability of no error P(X=0)= e⁻¹ (1)^0 0 ! =e⁻¹