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 contaminants - underwater inspection of bridge, Define Contaminants ...

Define Contaminants - underwater inspection of bridge? There are various substances that may be inadvertently incorporated into the concrete matrix (e.g. glass, coal, gypsum),

Mixed ground with soils and boulders, Ground settlement occurs when pipe-ja...

Ground settlement occurs when pipe-jacking machine enters mixed ground with soils and boulders? The rate of cutting through soils is faster than cutting through boulders for pi

What will be the increase in horizontal thrust, A 9 metre high retaining wa...

A 9 metre high retaining wall retains a soil with the following properties: φ = 36°; γ = 18 kN/m 3 . What will be the enhance in horizontal thrust if the soil slopes up from the

Diffrence between rowe cell and oedometer apparatus, Q. Diffrence between R...

Q. Diffrence between Rowe cell and Oedometer apparatus? The benefits of using Rowe cell over oedometer apparatus are:  (i)  It possesses control facilities for drainage and

Hydraulics, In this question we consider a bended outlet of pipe flow AB. E...

In this question we consider a bended outlet of pipe flow AB. End A is attached to an incoming pipe by a flange connection. The pipe diameter at A is the same as the incoming pipe,

Pump selection, How do you determine pipe size and select a pump for 100 li...

How do you determine pipe size and select a pump for 100 liter per second flow?

What are the limits of any soil classification system, Draw neatly the IS p...

Draw neatly the IS plasticity chart and label the symbol of several soils. What are the limits of any soil classification system? Explain the following tests with their meani

Construction management, i would like to get a project done. I have some pl...

i would like to get a project done. I have some plans and I need a cost estimate on how much it will cost to get it constructed.

Third law of thermodynamics, Is there any application by using the third la...

Is there any application by using the third law of thermodynamics. A Actual application without explained the calculation

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