Binomial distribution - exact probability, Civil Engineering

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.

Posted Date: 1/31/2013 5:38:32 AM | Location : United States







Related Discussions:- Binomial distribution - exact probability, Assignment Help, Ask Question on Binomial distribution - exact probability, Get Answer, Expert's Help, Binomial distribution - exact probability Discussions

Write discussion on Binomial distribution - exact probability
Your posts are moderated
Related Questions
Urban Transport Systems: Urban Transport Problem Rapid urbanisation is taking place in India. The current urban population proportion of 28 per cent may reach 40 per

Q. What do you mean by Elastomeric bearings? Steel bearings are good but suffer from problems of corrosion and high level of maintenance. Due to these problems of steel bearing

Q. What do you mean by Manhole loss? Manholes are provided in locations where there are changes in direction, size and gradient of gravity pipelines. Generally practice for str

Define the term - prestressing force It should be realized that the maximum amount of prestressing force which can be  transferred from tendons to concrete depends on the bond

Q. Application of bitumen to driven piles? In a certain area of H-piles subjected to ground water table fluctuation, painting is occasionally applied on the surface of H-piles

how to draw the shear diagram after redistribution of moments

Ask quetypes of stion #Minimum 100 words accepted#


For the shear building shown, determine the natural frequencies (RAD/SEC) and the modal matrix. Also, sketch the deflected buildings in their normal modes using the top floor as th

design calculations for a two storey office building