The ground-state wavefunction for a particle confined to a one-dimensional box of length L is 

Suppose the box is 10.0 nm long. 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 10.00 nm,

(d) In the right half of the box,

(e) In the central third of the box.

y= 2 |- L 1/2 sin L