According to quantum mechanics, the energy of an electron in a hydrogen atom can assume only the values $\frac { k } { 1 }$ , $\frac { k } { 4 }$ , $\frac { k } { 9 }$ , $\frac { k } { 16 }$ , . . . for a certain constant value $k$ . X - the energy of an electron in a hydrogen atom.
Classify the random variable X as finite, discrete infinite, or continuous.

A)X is a continuous random variable.
B) X is a discrete infinite random variable.
C) X is a finite random variable.

Question

According to quantum mechanics, the energy of an electron in a hydrogen atom can assume only the values $\frac { k } { 1 }$ , $\frac { k } { 4 }$ , $\frac { k } { 9 }$ , $\frac { k } { 16 }$ , . . . for a certain constant value $k$ . X - the energy of an electron in a hydrogen atom.  
Classify the random variable X as finite, discrete infinite, or continuous.
 
A)X is a continuous random variable.
B) X is a discrete infinite random variable.
C) X is a finite random variable.

Quizplus · Accepted Answer

The energy levels of an electron in a hydrogen atom, as described, form a countable set of distinct values that goes on indefinitely. This makes X a discrete infinite random variable, as there are infinitely many possible values it can take, but each is distinct and countable.

According to Quantum Mechanics, the Energy of an Electron in a Hydrogen