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
Question What is key application of inverted siphons? What are major drawbacks of using inverted siphons ? Answer Inverted siphons are planned at locations in which sewer s
design a tension member subjected to a pull of 300KN using a channel section. the length of a joint available is only 400mm.check the condition of using lug angle for end connecti
What is compacting factor
I want to know the necessary material list during replacement of Expansion Joint
a) Explain Terzaghi's theory of bearing capacity of shallow strip foundations. Determine the three bearing capacity factors and give their values for Φ = 0' case. (b) Descreib
How to find beam,sway and combined mechanisms for unsymmetrical portal frames? Also how to find the critical mechanisms by using plotting method?
gabbion retaining wall design
A wood pile of 10 m length is driven by a 1500 kg drop hammer falling by 3 m to a final set equal to 1.25 cm per blow. Measure the safe load on the pile using the Engineering Ne
Q. Protection of line in case of ‘STOP DEAD RESTRICTION' for carrying out a work of short duration on a single line section on a B.G. route Ans. Protection in block sectio
Instruments used in chain survey
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