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

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

Ask an Expert

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

Write your message here..

Related Questions

What is floating foundation, Explain the procedure of determining the safe ... Explain the procedure of determining the safe bearing capacity based on the standard penetration test. Write short note on (i) Floating foundation and (ii) Factors affecti

Non-distortional prestressing, Non-distortional Prestressing Concrete m... Non-distortional Prestressing Concrete members deflect due to their own self weight. If prestressing force is applied in such a way that these deflections are eliminated due to

Standard mixes of concrete, In some nations such as Britain, specification ... In some nations such as Britain, specification for concrete doesn'tusually require cube tests for standard mixes of concrete. Quality control of standard mixes in Britain is achiev

Dense bituminous macadam, Dense Bituminous Macadam: A Dense Bituminou... Dense Bituminous Macadam: A Dense Bituminous Macadam (DBM) is a close-graded premix material having a voids content of 5-10 per cent. Two gradings are normally adopted :

Assignment , A cantilever beam is loaded with a concentrated. Force of 5kN ... A cantilever beam is loaded with a concentrated. Force of 5kN at the free end. The length of the cantilever beam is 1m having cross section of 50×50mm. determine the equation for b

Wet mix Macadam, Test required before laying or after laying. Test required before laying or after laying.

Handheld inspection tool for underwater inspection of bridge, Explain Handh... Explain Handheld Inspection tools for Underwater Inspection of Bridge? Handheld tools such as flash lights, rulers, and tape measures for documenting areas; small or large hamm

Relief features, characteristics of ridge characteristics of escarpment cha... characteristics of ridge characteristics of escarpment characteristics of plateau characteristics of knoll characteristics of conical hill

Designing sewer pipes, Question While designing sewer pipes , why vitr... Question While designing sewer pipes , why vitrified clay pipes commonly is used for pipe size less than 600mm still as precast concrete pipes with PVC lining is used for pipe

Explain the secondary treatment for wastewater, Explain the Secondary treat... Explain the Secondary treatment for wastewater Secondary Treatment: to remove soluble BOD that escapes the primary treatment and to provide added removal of suspended solids.