1) Consider a particle whose wavefunction (probability amplitude) is given by Axe-ax 4(x) = {Ax X ≥ 0 x<0 a) Find the normalization coefficient, A. b) For what values of x does P(x)=|(x)|² peak? c) Calculate <x> and <x²>. d) What is the probability that the particle is found between x=0 and x=1/a?