At time of purchase, the value of a certain TV is $1000, and its value in the future is given by w(t) = 12.5(3^(4-t) -1) 0<=t<=4, where t is the time in years (after 4 years, the TV has no more value with respect to warranty). If it fails during the first four years, the warranty pays w (t). Compute the expected valueof the payment on the warranty if the lifetime distribution of the TV is exponential with expectation 10 years.(Note: 3^x=e^(x ln 3 )