Find the cumulative distribution function, Civil Engineering

Assignment Help:

Find the Cumulative Distribution Function:

Find the cdf of Y = Z2 where Z -N (0,l)

Solution:

F(y)= P(Y ≤ y) = p(z2≤y) = P(-√y≤ √z≤√y)

= ?(√y)- ?(-√y) = ?(√y) - (1 - ?√y)

Hence

F(Y) = [2 ?(√y)-l]

where ? ( z ) is the cdf of Z.


Related Discussions:- Find the cumulative distribution function

Explain ductile iron pipes and mild steel pipes, Ductile iron pipes vs. mil...

Ductile iron pipes vs. mild steel pipes as pressurized pipelines For water main pipe size less than 600mm, ductile iron is generally used since internal welding for steel pipe

Bridge loadings, Bridge Loadings: Loadings of bridges have been standa...

Bridge Loadings: Loadings of bridges have been standardized by the Roads Congress. The major features of the various load classes are given below : Bridges and culvert

Surveying, Distance ABC was measured with a 30m. Chain tested and found to ...

Distance ABC was measured with a 30m. Chain tested and found to be correct in the beginning of the work .after measuring AB=1.2 km chain was found to be 10 cm. To long chaining was

Pavement layers and their functions, Pavement Layers And Their Functions ...

Pavement Layers And Their Functions Flexible Pavement A typical modern flexible pavement for high traffic is composed of layers as under (Figure). Figure: L

Explain about overhauling of level xing, Q. Explain about Overhauling of Le...

Q. Explain about Overhauling of Level xing? Each level crossing except those laid with PSC sleepers must be opened out and the condition of sleepers and fittings, rails and fas

Principal stresses and strains, Principal Stresses and Strains: Princi...

Principal Stresses and Strains: Principal Stresses and Strains is a very important link in the analysis of solids so as to make sure safe design of different components of str

Timber, charring of timber

charring of timber

Chemical prestressing, advantages and disadvantages of chemical prestressin...

advantages and disadvantages of chemical prestressing over conventional prestressing?

Describe the behaviour of pre and post-tensioned members, Describe the beha...

Describe the behaviour of pre and post-tensioned members The behaviour of pre and post-tensioned members under imposed loads may be different, especially when the cracking patt

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