Consider a jointly distributed random variable with pdf La if 1
Posted: Mon Nov 15, 2021 9:55 am
Consider a jointly distributed random variable with pdf La if 1<x<y<k f(x,y) = 10 otherwise where a and k are constant, a > 0. 1. (4 points) Express k in terms of a such that this is a valid pdf. 2. (4 points) From now on let a = 2. Find the unconditional expectation E[X] 3. (4 points) Find the conditional expectation EY X = 1) 4. (3 points) Are X and Y independent random variables?
Posted: Mon Nov 15, 2021 9:55 am
Consider a jointly distributed random variable with pdf La if 1<x<y<k f(x,y) = 10 otherwise where a and k are constant, a > 0. 1. (4 points) Express k in terms of a such that this is a valid pdf. 2. (4 points) From now on let a = 2. Find the unconditional expectation E[X] 3. (4 points) Find the conditional expectation EY X = 1) 4. (3 points) Are X and Y independent random variables?