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

Terminology of earthquake, TERMINOLOGY 1. Focus: The point on the fau...

TERMINOLOGY 1. Focus: The point on the fault where slip begins is the focus. It is also called as hypocentre 2. Epicentre: The point vertically above the focus on the su

Analyse the state of stress, Analyse the state of stress: For the cros...

Analyse the state of stress: For the cross-section shown in above figure, let us take b = 100 mm, d = 300 mm and M = 9 × 10 7 N mm and Q = 18 × 10 4 N and analyse the state

Assignment, The obstacles that the students of civil engineering face when ...

The obstacles that the students of civil engineering face when it comes to produce a good piece of writing in English

Soil Mechanics, Good evening. I have two homework projects from the Soil Me...

Good evening. I have two homework projects from the Soil Mechanics. I am interesting if anybody can solve them.

Common defects - bituminous roads, Common defects - bituminous roads: ...

Common defects - bituminous roads: Cracks can be filled with a bitumen emulsion. Wide cracks can be filled with premix sand asphalt. If an overlay is to be laid on a cracke

#transportation engineering sessional.., #how the result of DETERMINATION O...

#how the result of DETERMINATION OF THE 10 PERCENT FINES value can be interprited?

Management of engineering stores general, Charged of stores - The follo...

Charged of stores - The following types of stores come under this category: - i. Consumable stores, such as kerosene oil, paints, varnishes, cotton waste and grease, etc, is

Define the net positive suction head, Define the Net Positive Suction Head ...

Define the Net Positive Suction Head All values in the equations are in units of feet.  Note: Only use values related to the suction side of the pump.   NPSHR = Net Posi

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