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
An activated sludge tank treats 1 MGD from the primary clarify and has an X of 2200 ppm SS. The water euent is 0.9 MGD. 1.0 MGD of the sludge is recycled back into the tank and has
for zero air void line sr is
Surface runoff travelling over ground surface to reach receiving water involves the following events: i) Rainfall intensity exceeds soil's infiltration rate; ii) Excess water
what are the defects in timber
note on distomat
what is a 1st sort,2nd sort, 3rd sort stone masonary
What is civil engineering?
They stop, or slow down erosion, and stop long shore drift. This, though, can have bad knock-on effects somewhere near.
1. Draw the projections of a line AB that is 50 mm long and is parallel to both the HP and the VP. The line is 40 mm above the HP and 25 mm in front of the VP. 2. A line AB, 50 mm
Question In modeling a nonrigid mat foundation by using elastic springs, have a uniform modulus of subgrade reaction be used along whole base of mat ? Answer A bed of
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