Let X, Y, and Z be jointly continuous random variables. Assume that all conditional PDFs and expectations are well defined. E. g., when conditioning on X = x, assume that x is such that fX(x) > 0.
For each one of the following formulas, state whether it is true for all choices of the function g or false (i. e., not true for all choices of g ).
1) E[g(Y)|X=x] = ∫ g(y) fY|X(y|x) dy
2) E[g(y)|X=x] = ∫ g(y) fY|X(y|x) dy
3) E[g(Y)] = ∫ E[g(Y)|Z=z] fz(z) dz

jjhjhhjjh

step-by-step explanation:

there is no grid

step-by-step explanation:

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

$2416.6

step-by-step explanation:

per hour = $ 25

total work time = 35

commission = 15%

total she has to make = $ 4,500

let she sold x dollar products

so her commission will be 15 % of x

now

total = weekly basic pay + commission

4500= (25*35) + 15 % of x

4500=875 + * x

4500-875 =   * x

3625= * x

multiplying wwith 100 on both sides gives

36250 = 15 x

now

x =  

x= $2416.6