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

RefConc Triangle Section''s bending stress, When I use allowable stress des...

When I use allowable stress design, how can I get depth of N.A and resultant force of Compression at triangle section? It''s Reinforced Concrete...

Career, does felid scope in civil eng. if we start consiltancy job

does felid scope in civil eng. if we start consiltancy job

How the bursting tensile forces produced, How the Bursting Tensile Forces p...

How the Bursting Tensile Forces produced These are tensile forces produced due to concentrated longitudinally applied prestressing forces in the end zone of a post-tensioned co

Uses of lime, Uses of Lime Uses of lime in civil works are following : ...

Uses of Lime Uses of lime in civil works are following : For making mortar  for masonry works and plastering For white washing. For soil stabilization. To produc

Building, What quantity of cement will be needed to lay 2000 blocks of 9 in...

What quantity of cement will be needed to lay 2000 blocks of 9 inches using a mortar ratio of 1:6 with a thickness of 25mm in-between blocks.

Solid block -calculating for design mix, Good evening sir, solid block''s d...

Good evening sir, solid block''s design mix calculated generally please explain and derive .

Concrete, What is compacting factor

What is compacting factor

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