Normal approximation to compute the probability, Civil Engineering

Normal approximation to compute the probability:

A lot contains 100 articles of which 10 are defective. The lot is rejected if a random sample of 10 articles drawn from the lot contains more than 2 defectives. Use normal approximation to compute the probability that the lot is accepted.

Solution:

Let X represents the number of defective articles in the sample. The variable X follows the hypergeometric distribution with parameters

N = 100,n - 10,M = l0 and has E(X) = 10.(10/100) = 1 and

V(X) =σ2 = 10.10/100.(1-(10/100)) (100-10/100-1) =9/11

The required probability is

903_Normal approximation to compute the probability.png

Posted Date: 1/31/2013 5:40:41 AM | Location : United States







Related Discussions:- Normal approximation to compute the probability, Assignment Help, Ask Question on Normal approximation to compute the probability, Get Answer, Expert's Help, Normal approximation to compute the probability Discussions

Write discussion on Normal approximation to compute the probability
Your posts are moderated
Related Questions
Explain briefly shallow foundation?

Estimate the single room of size 3m x 4m x height 3m using individual wall method?

Define the proess of Eccentric Prestressing In this form of prestressing, the centroid of cross-sectional areas of tendons is not located at the centroid of the cross-section.

what is the theory of roof trusses practical?

GIVE EXAMPLESS OF TRIGONOMETRIC RATIOS AND HOW TO SOLVE THEM

Question What are the major functions of following features observed in a typical manhole ? Answer (i) Groove near benching, (ii) R.S.J. (iii) double seal manhole cove

closed traverse maths problems


Question: What are dissimilar applications of draglines, backhoes and shovels? Answer: An excavator is distinct as a power-operated digging machine and it includes di

Define Concrete Surface Finish - Limitations of Ultrasonic System? The smoothness of the surface under test is important to ensure proper acoustical contact between the transdu