Kindly work out the following!!!

Denote a bivariate probability density function for two random variable X and Y as f(x,y). Let f(x,y) = x + y for {0X1 } and {0Y1}; f(x,y) = 0 otherwise.

Using this bivariate probability density function, find the Pr{ X0.5 Y0.5}.

Using this bivariate probability density function, find the marginal probability density function for X. Please denote it by fx(x).

home / study / math / statistics and probability / statistics and probability questions and answers / Jorge Is Interested In Predicting The Number Of Crimes Based On The Number Of Police Officers ...

Question: Jorge is interested in predicting the number of crimes based on the number of police officers in ...

Jorge is interested in predicting the number of crimes based on the number of police officers in a region. Summary statistics for the bivariate data for 12 regions are below. Figure out which variable is X and which variable is Y, create regression equation based on these data and then use it to predict. Mean of X: 100

Mean of Y: 20

Sum of (Xi-X)2 : 60

Sum of (Xi-X)(Yi-Y) : 30

Sum of (Yi-Y)2 : 90

Question:What is the predicted number of crime cases for a region with 90 police officers? A. -15B. -5C. 5 D. 15