Using the normalized ground state wavefunction for a particle in a box with the length of the box being 10.0 nm, calculate the probability that the particle is

(a) between x=4.95 nm and 5.05 nm,

(b) between x=1.95 nm and 2.05 nm,

(c) between x=9.90 nm and 10.0 nm,

(d) in the right half of the box, and

(e) in the central third of the box.