Question

3. Radar systems detect flying objects by measuring the power reflected from them. A model of the reflected power is given by the PDF fr ) > J e */ otherwise where Po is a constant greater than zero. The object is correctly identified if the reflected power is larger than its average value. Find Pr (C) where C is the event that the object is correctly identified.

Answer 1

Reflected power moclel por is given by (1=5 h e lo azo. to otherwise Average value Ex) = få fa&odz otherwise exlpo di 지 fuar = uv-fvdu dr. 1 e allo de c=2 du=dx r = -'ē alle е то Hete ! (* * * !R) dz*= al fet 19-12-298) arte =(****)( 20+ FP) (0-1] = Po = Average volece E (X) = P

PCC). Where c = the event that the objectis Conectly identified the objectis Correc Hy identified is reflected power is larger than its average values PG > Po ) = | faca),dz o r I I ē 150 de . alpa 3 - (ērlpoli), 0.368