Japanese electrical engineers have developed a sophisticated radar system called the moving target detector (MTD), designed to reject ground clutter, rain clutter, birds, and other interference. The system was used to successfully detect aircraft embedded in ground clutter. (Scientific and Engineering Reports of the National Defense Academy, Vol. 39, 2001). The researchers show that the magnitude Y of the Doppler frequency of a radar-received signal obeys a Weibull distribution with parameters α = 2 and β.
a. Find E(Y).
b. Find σ².
c. Give an expression for the probability that the magnitude Y of the Doppler frequency exceeds some constant C.