ECABA GABEA. 

3. int sqrt lam dt dx dy  = int 3x dt dx dy = 10(3/2) x^2 = 15. 

6. M is a Poisson process, so var = EM(B) = total rate of superposed pts 
= integral of (5-lambda) where lambda < 5 
= 2*10*.25 + 1*10*.25 = 5 + 2.5 = 7.5. 

8. (2 + pi r^2 (7.5))/7.5. 

9. log(5) + log(5+0.4*4*exp(-4)*100/(5pi)) - 50 - .4/5 - .4/(5+32exp(4)/pi)
= log(5) + log(5+32exp(4)/pi) - 50 - .4/5 - .4/(5+32exp(4)/pi). 

10. E int dN = E int lambda dmu 
= 50 + 0.4 Eint (int 1/lambda fg dN') dmu 
= 50 + .4 E int (int 1/lambda fg lambda dmu) dmu 
= 50 + .4 E int (int fg dmu) dmu = 50 + .4 E int dmu = 54.