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

Timber design, design of timber in flexural members in terms of extreme fib...

design of timber in flexural members in terms of extreme fibre stress in bending, maximum horizontal shear stress, deflection and bearing stress perpendicular to the grain. the ful

Measure the stress increment, A raft of size 4 m × 4 m carries a uniform lo...

A raft of size 4 m × 4 m carries a uniform load of 200 kN/m 2 . Using the point load approximation with four equivalent point loads, measure the stress increment at a point in the

Define the cracking - underwater inspection of bridge, Define the Cracking ...

Define the Cracking - underwater inspection of bridge? A crack is a linear fracture in concrete. There can be several types of cracks starting from surface and going into the c

Define mechanical tool for underwater inspection of bridge, Define Mechanic...

Define Mechanical tool for underwater inspection of bridge? Mechanical devices that involves a Schmidt Test Hammer for computing concrete surface hardness, and rotary coring eq

Define the term - post-tensioned concret, Define the term - post-tensioned ...

Define the term - post-tensioned concret In the Prescon and B.B.R.V. systems button heads are created at the ends of tendons. In the case of Prescon system, 2 to 130 tendon wir

Show the benefits of adopting marine fill, In reclamation involving large v...

In reclamation involving large volumes of fill and tight programme, shall engineers use marine fill or mud extracted from land borrow area as filling material?  There are two

Define electrical tool for underwater inspection of bridge, Define Electric...

Define Electrical tool for underwater inspection of bridge? Electrical equipment like Rebar Scanner for scanning of rebars; underwater sonic and ultrasonic equipment for observ

Examples of stabilised pavement layers, Examples of Stabilised pavement lay...

Examples of Stabilised pavement layers: Examples Sand-clay mixture Sand-gravel mixture Soil-aggregate mixture Soil-soft aggregate mixtures (b)

Explain the ion exchange water softening, Explain the Ion Exchange water So...

Explain the Ion Exchange water Softening Softening is usually done using a resin (natural or synthetic long chain chemical with a sodium ion attached). When water containing ha

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