A technician wants to estimate the unknown mean of an exponential lifetime distribution by using the first 3 order statistics X(1), X(2), X(3), from a sample of size 100 from this distribution. 1) What is the joint density function of ( X(1), X(2),X(3)) 2) Verify that T=X(1)+X(2)+98X(3) is a sufficient statistics 3) Find the distribution of T and find a UMVUE of based on T