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

Define hardness - chemical characteristics of water, Define Hardness - Chem...

Define Hardness - Chemical Characteristics of Water Caused by any polyvalent cations (mainly Calcium and Magnesium). Expressed as mg/l as CaCO 3 . Causes precipitates with soap

Shear lag in typical box-girder bridge, Shear lag in typical box-girder bri...

Shear lag in typical box-girder bridge For multiple-cell box girders, there are normally two arrangements. First one is that independent cells are connected by their top flang

Calculate benefit cost ratio of most cost effective device, A city is tryin...

A city is trying to decide which of two traffic devices to install. Device A costs $1000 and has useful life of five years.  Device A can be expected to result in $300 savings annu

Design the transverse reinforcement, Figures (a) and (b) respectively give ...

Figures (a) and (b) respectively give details of a simply-supported bridge beam and its (idealised) cross-section. In addition to the dead load of 25 kN/m (including self weight),

Explain the strength design (lrfd), Explain the Strength Design (LRFD)   ...

Explain the Strength Design (LRFD)   1. γ Factors are applied to loads and φ factors applied to resistance. 2. Unfactored service loads receive a load factor γ > 1.0

Air pollution, chlorosis in plants is caused by

chlorosis in plants is caused by

Open foundation, what is savest foundation in the soft sanded earth

what is savest foundation in the soft sanded earth

What do you understand by percolation of water, Q. What do you understand b...

Q. What do you understand by Percolation of water? Percolation of water into the ground or embankment takes place, causing rise in water table and / or saturation of the body.

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