An electron is in the ground state in a three-dimensional box, with V given by (3.60), with a = 1.00 nm, b = 2.00 nm, and c = 5.00 nm. Find the probability that a measurement of the electron's position will find it in the region
(a) 0 ≤ x ≤ 0.40 nm, 1.50 nm ≤ y ≤ 2.00 nm, 2.00 nm ≤ z ≤ 3.00 nm;
(b) 0 ≤ x ≤ 0.40 nm, 0 ≤ y ≤ 2.00 nm, 0 ≤ z ≤ 5.00 nm.
(c) What is the probability that a measurement of this electron's position will find it with its x coordinate between 0 and 0.40 nm?