Probability of a measured energy for a hydrogen atom

[reminiscent]

Homework Statement

https://imgur.com/a/8deZc

Homework Equations

P(E) = ∫φ*(r)ψ(r)dr from -∞ to ∞

The Attempt at a Solution

To find the probability, I know I have to use this equation:

P(E) = ∫φ*(r)ψ(r)dr from -∞ to ∞

My question is, what is the energy eigenstate, φ*(r)? Is it the measured energy they gave us? I don't have a full understanding of this.
If it is the measured energy, integrating it would just give me 0.
Thank you.

 

[mfb]

You'll have to find the wave function that corresponds to the given energy eigenstate.