Suppose That at a Certain Instant of Time, the Wavefunction $|x|>a$

Multiple Choice

Suppose that at a certain instant of time, the wavefunction shown below describes a certain quanton's state.

The function is zero for $|x|>a$ and sinusoidal with a constant amplitude for $|x|<a$ . If we were to perform an experiment to locate the quanton, within which of the ranges above would we be most likely to find it?

A) Range I
B) Range II
C) Range III
D) Ranges I and III have equal probability; I/ smaller
E) All three ranges have equal probability.