# ram121

Popular questions and responses by ram121-
## Probability

Let X and Y be independent random variables with zero means, and variances 1 and 2, respectively. Let U=X+Y and V=X+2Y . Find the coefficients a and b of the Linear Least Mean Squares (LLMS) estimator VˆL=aU+b of V based on U . find a and b.

*asked on May 16, 2020* -
## math

We are given a stick that extends from 0 to x . Its length, x , is the realization of an exponential random variable X , with mean 1 . We break that stick at a point Y that is uniformly distributed over the interval [0,x] . 1. Find joint PDF fX,Y(x,y) of X

*asked on April 18, 2020* -
## Probability

Let X1 , X2 , X3 be i.i.d. Binomial random variables with parameters n=2 and p=1/2 . Define two new random variables Y1 =X1−X3, Y2 =X2−X3. We further introduce indicator random variables Zi∈{0,1} with Zi=1 if and only if Yi=0 for i=1,2 . Calculate

*asked on May 16, 2020* -
## Math

Let X and Y be independently random variables, with X uniformly distributed on [0,1] and Y uniformly distributed on [0,2] . Find the PDF fZ(z) of Z=max{X,Y} find fZ(z) 1. For z2 : 2. For 0≤z≤1 : 3. For 1≤z≤2 :

*asked on May 16, 2020* -
## Probability

Let X and Y be independently random variables, with X uniformly distributed on [0,1] and Y uniformly distributed on [0,2] . Find the PDF fZ(z) of Z=max{X,Y} 1. For z2 : find fZ(z) 2. For 0≤z≤1 : find fZ(z)

*asked on May 16, 2020*