Assume that in earthquake-resistant design, the following relations take place: Y=ce^(x), where Y is the ground motion istensity at the buiding site, X is the magnitude of an earthquike, aned the constiet e is selased to the disunce between the site and cenner of the carthouke. Asprming that X is expeectianlly diatributed, f_(s)(x)= lambda e^(-lend solutionspile.com

Question

Assume that in earthquake-resistant design, the following relations take place:

Y=ce^(x)

, where Y is the ground motion istensity at the buiding site, X is the magnitude of an earthquike, aned the constiet

e

is selased to the disunce between the site and cenner of the carthouke. Asprming that X is expeectianlly diatributed,

f_(s)(x)=\lambda e^(-lenda x)

with

x>=0

and

\lambda >2

. (a) Derive the PDF and CDV of Y , including the bounds, and sketch them. (b) determine the median (i.e 50%- fractile ) and 90% - fractile ( value of Y othat has a pribability of not exceed if 90% of of ) Y (c) Determine the mean and variance of Y by using the PDF of Y derived under (a). (d) Detenmine the mean and variance of Y directly from the PDF of X .

Accepted Answer

Expert Answer to - Assume that in earthquake-resistant design, the following relations take place: Y=ce^(x), where Y is

Answer

Solution for - Assume that in earthquake-resistant design, the following relations take place: Y=ce^(x), where Y is

Answer

This an additional answer to - Assume that in earthquake-resistant design, the following relations take place: Y=ce^(x), where Y is

(Solved): Assume that in earthquake-resistant design, the following relations take place: Y=ce^(x), where Y is ...

View Expert Answer

Expert Answer

Buy This Answer $5

Place Order

We Provide Services Across The Globe