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The displacement x of a classical harmonic oscillator as a function of time is given by x= A cos(omega t + phi) where omega is the angular frequency of the oscillator, A is the amplitude of the oscillations and phi is an arbitrary constant that can assume any value in the range 0 <= phi <= 2pi. Find the probability P(x) dx that the displacement of the oscillator, at any time t, is in the range between x and x+dx.

The displacement x of a classical harmonic oscillator as a function of time is given by x= A cos(omega t + phi) where omega is the angular frequency of the oscillator, A is the amplitude of the oscillations and phi is an arbitrary constant that can assume any value in the range 0 <= phi <= 2pi. Find the probability P(x) dx that the displacement of the oscillator, at any time t, is in the range between x and x+dx.

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The displacement x of a classical harmonic oscillator as a function of time is given by

x= A cos(omega t + phi)

where omega is the angular frequency of the oscillator, A is the amplitude of the oscillations and phi is an arbitrary constant that can assume any value in the range 0 <= phi <= 2pi.

Find the probability P(x) dx that the displacement of the oscillator, at any time t, is in the range between x and x+dx.

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