(a) Construct the wave function for hydrogen in the state n = 4, = 3, m = 3. Express your answer as a function

(a) Construct the wave function for hydrogen in the state  n = 4, ℓ = 3, m = 3. Express your answer as a function of the spherical coordinates r, θ, and ϕ.
(b) Find the expectation value of r in this state. (As always, look up any nontrivial integrals.)
(c) If you could somehow measure the observable on an atom in this state, what value (or values) could you get, and what is the probability of each?

2 L+L