The muon is an unstable particle that spontaneously decays into an electron and two neutrinos. In a reference frame in which the muons are stationary, if the number of muons at t = 0 is No, the number at time tis given by N= Noe T, where T is the mean lifetime, equal to 2.2 us. Suppose the muons move at a speed of 0.95c and there are 5.0 X 104 muons at t= 0. (a) What is the observed lifetime of the muons? (b) How -1/T many muons remain after traveling a distance of 3.0 km?

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