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
What are the advantages and disadvantages of lead products in construction? Ans) Disadvantages: -Lead is very toxic; its use can result in pollution of the ground and more signi
#how the result of DETERMINATION OF THE 10 PERCENT FINES value can be interprited?
Q. Define Shear slump and collapse slump in slump test? There are three kinds of slump which can take place in a slumps test, namely, true slump, shear slump and collapse slump
elements of vibratory system
Define the Arrow Diagramming Method Activity-on-Arrow (Branch) with nodes as dependencies Uses finish-to-start precedence only. The solution method for an activity on
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,
Solve the following problems related to Wastewater flow and densities (a) The volume of 896, 000 lb of wastewater is? (b) The weight of 13,000 ft3 of wastewater is? (c) A
What would be the best way to evaluate the field performance benefits of subsurface drainage in a flexible pavement? Short term and long term, thick or thin HMA..
Calculate Equivalent Uniform Annual Cost for the Excavator An earthwork contractor is considering the purchase of a new excavator. Based on 10% interest, the equivalent unifor
how many types of drainage galleries and foundation treatment
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