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
Good evening. I have two homework projects from the Soil Mechanics. I am interesting if anybody can solve them.
Principles of working from whole to part
Q. Process of Lubrication of Girder Bearing? Oiling and greasing of bearings is done to ensure that the bearings are well lubricated and working freely to permit expansion and
Exponential distribution - Poisson distribution function: Let X follow exponential distribution with parameter θ. Find the pdf of Y = X 1/β where β( ≥ 1 ) is a constant.
A cylindrical specimen of saturated clay, 4.5 cm in diameter, and 9 cm long, is tested in an unconfined compression apparatus. Search the cohesion if the specimen fails at an ax
what are the applications of statics in engineering
Define the Cost per Square Foot of Contact Area The cost of concrete formwork is influenced by three factors: 1. Initial cost or fabrication cost that contains the cost of t
Explain Frame Members Effective Lengths a. Effective length is a product of an effective length factor (k) and the actual length of the column. b. k depends on the rel
Radial flow pumps for small flows and high heads In radial flow pumps, a diffuser/volute is generally designed at it outlet to convert the kinetic energy obtained during the pu
where we can overlap steel in columns if we use 50 or 60 bar diameter as overlap length.
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