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

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

Define the most probable error, If the standard deviation of an observation...

If the standard deviation of an observation is ± 10-ft, the most probable error would be: The most probable error is defined as the error for which there are equal chances of t

Spacing of manholes in straight sections, Question Spacing of manhole...

Question Spacing of manholes in straight sections for diverse pipe sizes is stated in Storm water Drainage Manual. How are figures arrived on? Answer For pipe size

What is diversion tunnel in a dam, When a dam is to be built, a diversion t...

When a dam is to be built, a diversion tunnel is usually bored by solid rock next to the dam site to bypass the dam construction site. The dam is built while the river flows by the

Underwater problems in bridge construction, Q. Underwater problems in bridg...

Q. Underwater problems in bridge construction? The major bridge construction materials are steel and concrete. In the past, stone and brick masonry, with lime mortar as binding

Calculate the elastic stretch of the steel wire rope, A 70-ft long, ¾" diam...

A 70-ft long, ¾" diameter, 6 x 7 FC wire rope is resisting a tension force of 12-kips.  The elastic stretch of the steel wire rope given the following properties is most nearly: E

Review of available records - underwater inspection, Review of available Re...

Review of available Records - Preparation for Underwater Inspection? Before taking up the underwater inspection, a detailed review of drawings and past report should be carried

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

Mass effect, how the effective mass of charge carrier less than the rest ma...

how the effective mass of charge carrier less than the rest mass

Compare the probabilities, Compare the probabilities: Use the central ...

Compare the probabilities: Use the central limit theorem to compute P (¦ X - μ ¦ ≥ k), k = 1, 2,3,4,5 where X and μ are as defined in Example. Compare the probabilities with t

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