g(y)=1/(3y)
a=e^(-2)
b=e^1
The PDF of exp(X)
Let X be a random variable with PDF f_X. Find the PDF of the random variable Y=e^X for each of the following cases:
For general f_X, when y>0, f_Y(y)=
f_X(ln y)
---------
y
When f_X(x) = {1/3,0,if −2<x≤1,otherwise,
we have f_Y(y) = {g(y),0,if a<y≤b,otherwise.
Give a formula for g(y) and the values of a and b using standard notation . (In your answers, you may use the symbol 'e' to denote the base of the natural logarithm.)
g(y)= unanswered
a= unanswered
b= unanswered
When f_X(x) = {2e−2x,0,if x>0,otherwise,
we have f_Y(y) = {g(y),0,if a<y,otherwise.
Give a formula for g(y) and the value of a using the standard notation .
g(y)= unanswered
a= 1
When X is a standard normal random variable, we have, for y>0, f_Y(y)=
(2*π)^-1/2 * e^-((ln y)^2)/2)
----------------
y
PLEASE, COULD YOU PROVIDE THE OTHER ANSWERS TO THIS PROBLEM???
1 answer
1 answer