Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Univariate normal distribution:
Let X = (XI, X2, ..., Xn,) has the multivariate normal distribution (5.26) of Section 5.4. Show that Y = a X ' follows a univariate normal distribution where a = ( a1 a2 ..., an, ). Also find the mean and the variance of Y.
Solution:
We have
My(t)= E (etY)= E(etaX') = E(eτX')
where τ = ta = (ta1, ta2,..., tan ).
From Example 3 of Section 5.4, we have
MX (t) = E(e tX') = e τμ' +1/2(t∑ t')
Hence
My(t) = MX(τ) = eτμ' - ½ (τ∑τ') =e t(a μ')-1/2 t2(a∑a')
=e tμ -1/2 t2 σ2
Where
MX(t) = e tμ+1/2 (t2σ2)
in other words Y - N ( μ, σ2 ) where
Given for the section shown in Figure, M * = 250 kNm, f sy = 500 MPa and f c ′ = 25 MPa. Compute A st and (if necessary) A sc . You may assume that eac
what are the basic two division of surveying
processing of material
What is the difference between Dense bituminous Macadam and bituminous macadam
give a short description about water supply system
Ask quA contractor has both a 3-cy and a 5-cy shovel in the equipment fleet. Select the minimum size shovel that will excavate 450,000 bcy of common earth in a minimum of 120 worki
Define and discuss the various factors that help decide the number and depth of bore holes needed for subsoil exploration. What is 'N-value' of Standard Penetration Test? How do
Q. PH Value of Water? It is a symbol for hydrogen ion concentration and indicates acidity or alkalinity. When P H Value more than 7 water is alkaline and less than 7 water is a
what are the problems in traditional marine pilling system of steel tubular pile with concrete infill
how we calculate barometric leveleing
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!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd