Binomial distribution - exact probability, Civil Engineering

Assignment Help:

Binomial Distribution - exact probability:

For the binomial distribution having n = 10, y = 0.4, find p (X ≤ 4) using equations and verify that equation gives a better approximation to the exact probability 0.6331.

Solution:

We have n = 10, p = 0.4, q = 0.6, np - 4, np q = 2,4 and √npq= 1.549. Hence equations give respectively

Φ ( 0/1.549 ) = Φ ( 0 ) = 0.5 and Φ ( 0.5/1.549 ) = Φ( 0.32 ) = 0.6255.

Thus above equation gives a better approximation.

In common, the normal approximation improves for a provide x as n increases and p approaches 0.5. For given n and p the approximation is better for x in the neighbourhood of n p than for x away from n p. Therefore, there is no rule of thumb that assures the quality of an approximation, even by the approximation is commonly found to be good while both np and nq are greater than 5.


Related Discussions:- Binomial distribution - exact probability

Support reaction, different types of support force & effect of hinge suppor...

different types of support force & effect of hinge support

Dam details, how to prepare a project of final year

how to prepare a project of final year

Engineering mathamatics, #question.A strain gauge arrangement is used to me...

#question.A strain gauge arrangement is used to measure the applied force of a comnplex shaped civil engineering structure. Theoretical analysis have been round the relationship be

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.

One layered spatial structures, Classification of the damage according to t...

Classification of the damage according to the type of structures The level of damage in spatial trusses has also been classified into three different levels based on th

Show the probable type of clay mineral, The liquid limit and plastic limit ...

The liquid limit and plastic limit of clay are 100% and 25%, respectively. From a hydrometer analysis it has been found that the clay soil having of 50% of particles smaller than 0

Surveying, obstacle to ranging but not chaining inthat when line may not vi...

obstacle to ranging but not chaining inthat when line may not visible from intermediate point pls if required explain with diagram

Calculate the net annual profit - construction management, A heavy equipmen...

A heavy equipment rental company uses a high interest rate of 30% for the rental of a specialty heavy haul dump truck.  The net annual profit for this investment is most nearly:

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