Please tell me the solution

[kaps_nit]

Please tell me the soluition for the question i have attached below.
Im getting different answer as i approached differntly, now im confused which mathod is right.

Kindly tell me the answer, if possible give some explanation


**** both the variables are independent

 

[albert233]

Is it a posibilty question??

 

[kaps_nit]

We can find out the solution by finding out the pdf of z, or else we can find out by finding out the common region of existance of x and y. but both the approaches are giving different ans.

 

[tomshack]

P(Z≤-2) =F(Z=2) =1/3 u have to find cdf of Z its equal to 1/3 for -2≤x<-1