Normal approximation to compute the probability, Civil Engineering

Assignment Help:

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


Related Discussions:- Normal approximation to compute the probability

Stress strain curves, stress strain curves for any materials with an explan...

stress strain curves for any materials with an explanation

Sucker deck principle for changeable depth bridge decks, Question What is t...

Question What is the sucker deck principle for changeable depth bridge decks ? Answer For a variable depth bridge deck, depth of continuous multi-span bridge deck is greate

Structural analysis 1, derive equation of radial pressure and loop stresses...

derive equation of radial pressure and loop stresses of thick cylinder

Residual stresses in steel after welding, Q. Residual stresses in steel aft...

Q. Residual stresses in steel after welding? Considerable residual stresses are persuaded in connecting steel members after welding operation. Local temperature of steel where

#title., desirable properties in green concrete

desirable properties in green concrete

Syphon, what is the design of syphon

what is the design of syphon

Zones of smear around vertical drains, Zones of smear around vertical drain...

Zones of smear around vertical drains Smear zones are produced during the installation of vertical drains in that zone of soils surrounding the band drains are disturbed. Soil

Plumbing technology, This assessment will test Learning Outcomes 3 and 4 as...

This assessment will test Learning Outcomes 3 and 4 as well as the component of Learning Outcome 1 as it refers to waste disposal for the Plumbing Technology. The student is expect

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd