A normalized wavefunction for a particle confined between 0 and L in the x direction is ψ = (2/L) 1/2 sin(πx/L). Suppose that L = 10.0nm. Calculate the probability that the particle is (a) between x = 4.95nm and 5.05nm,
(b) between x = 1.95nm and 2.05nm,
(c) between x = 9.90nm and 10.00nm,
(d) between x = 5.00nm and 10.00nm.