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

Define the concept of creep of concrete, Define the concept of Creep of Con...

Define the concept of Creep of Concrete Creep of concrete is another important characteristic. It represents progressive strains in concrete which occur at constant value of st

Define in biref about the final prestress, Define in biref about the Final ...

Define in biref about the Final Prestress The stress which exists after all losses of prestress have occurred substantially is known as final prestress. This may be calculated

The right triangle, a lighthouse standing on the cliff observed from two op...

a lighthouse standing on the cliff observed from two open boats A and B in a vertical plane thourgh the lighthouse.the angle of elevation of the top of the lighthouse viewed from B

Sinle flumesh bound.., ADVANTAGES AND DISADVANTAGES OF SINGLE FLUMESH BO...

ADVANTAGES AND DISADVANTAGES OF SINGLE FLUMESH BOUND

Improvements to public bus transport, Improvements to Public Bus Transport:...

Improvements to Public Bus Transport: Since buses carry a large number of passengers, improvements in bus transport is a cheap solution. Some of the possible improvements are

Piers and piles, what is the difference between piers and piles?

what is the difference between piers and piles?

How will you pay, when i have solved the given assignment work then how wil...

when i have solved the given assignment work then how will you pay me for that work??

How to determine the water content and bulk density, The wet weight of a sa...

The wet weight of a sample is missing in a Proctor test. The oven-dry weight of this sample is 189 N. The volume of the mould used is 1000 cm 3 . If the degree of saturation of

Geotechnical engineering, what are the 2 principle factors affecting the al...

what are the 2 principle factors affecting the allowable bearing pressure in the design of a specific footing

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