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

States of stress - principal stresses, States of stress - principal stresse...

States of stress - principal stresses: Now let us consider a few cases of solids of the similar material (mild steel) under various states of stress as display in Figure. The

Determine the total stopping sight distance in feet, Determine the total St...

Determine the total Stopping Sight Distance in feet A motorist is travelling down a 6% grade at 65 mph and needs to stop because of a crash scene.  Assuming a 2.0 sec PRT and 1

Quantitative Influence Line, Solve the following three questions of the bea...

Solve the following three questions of the beam ABCD. Note that A is a fixed end; B is apin connection; C is a roller support; and D is a free end. 1) Sketch the quantitative

Geofabric strengthening of perth soils, I need technical assistance. The pr...

I need technical assistance. The project is incomplete. I need someone to proofread it. Do you have someone who know Plaxis, Slope/W and Flac?. Can you arrange a case study for Geo

Radial contour, how to calculate distance for radial contour

how to calculate distance for radial contour

Determine the thickness of flexible pavement layer, Determine the thickness...

Determine the thickness of flexible pavement layer 2 given the following:  FACTS: Total Structural Number required = 7.0 Total number of layers = 2 Layer 1 consists of

Construction - concrete pavement, Construction: Construction is usual...

Construction: Construction is usually done by one of the three methods: (a) Manual method, providing steel or wooden forms, pouring concrete and compacting by means of nee

Strength of rivet joints, Ask question #Minimum 100 Please help me to...

Ask question #Minimum 100 Please help me to write a c program to determine strength and efficiency of single cover butt joint, lap joint, double cover butt joint . words ac

Survey.., collect the field deta manualy and drw the drawing as per scale

collect the field deta manualy and drw the drawing as per scale

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