A particle is represented by the following wave function: Psi (x) = 0 Psi = C (2x/L + 1) Psi = C (-2x/L + 1) = 0 X < - L/2 - L/2 < x < 0 0 < x < + L/2 x > + L/2 (a) Use the normalization condition to find C. (b) Evaluate the probability to find the particle in an interval of width 0.010L at x = L/4 (that is, between x = 0.245L and x = 0.255L. (No integral is necessary for this calculation.) (c) Evaluate the probability to find the particle between x = 0 and x = + L/4. (d) Find the average value of x and the rms value of x: x_rms = Squareroot (x^2) av.