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
State the procedure of prestressing When these wires cool down, concrete is poured in the moulds in which these tendons are provided in a stretched condition. Using this proces
Question Is it true that rational process has to not be used for large catchments in estimating peak runoff ? Answer Rational process is appropriate for small catchme
The transmission main from the well field to the community is 2500 ft, the velocity of flow at peak pumping capacity is 3.5 fps, water temperature is 10oC, and pH is 7.5. If free c
Classification Based on Availability: Forest departments categorized timbers based on the availability as X=Most common. 1415 m 3 or more per year Y=Common. 355 m 3 to 1415
Water Sources and Requirements: In this part, we have discussed: (a) Basic concepts in planning of water supply schemes. (b) Various types of water requirement. (c) S
Explain the Variable Conditions of River Flow and Health State? The variable conditions of river flow and health state of structure demands constant supervision. Although scou
Non-distortional Prestressing Concrete members deflect due to their own self weight. If prestressing force is applied in such a way that these deflections are eliminated due to
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
Sub-surface Drainage: Sub-surface drainage is intended to take away the water seeping through the pervious layers of the soil, causing a high water table, or in cut slopes of
A project engineer has ordered 100 hardwood boards, 1-1/4-in thick by 8-in wide and 8-ft long. The total board feet ordered is most nearly: Solution: 1.25" x 8" x 8' x 100
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