Consider the particle in the infinite square-well potential of section 6.3, and the eigen-solution, ψ n , of equation 6.34 and 6.35. focus on the ground state (n = 1), ψ 1 = (2/l) 1/2 sin(πx /l). a) calculate the probability that the particle occupy a position in the range x = l/12 to x = l/6. b) calculate the average momentum of the particle. c) find the most probable positions of the particle. d) what is the probability that the particle occupy a position at x = 0 and x = 2l