Find the probabilities that a particle can be found between x = 0.45 and 0.55 when the particle in limited to the x axis and has wave function.  ψ = {ax,       0 ≤ x ≤ 1    ;   0,    x< 0 and x >1. Also find the average (expectation value) of x.

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Find the probabilities that a particle can be found between x = 0.45 and 0.55 when the particle in limited to the x axis and has wave function. 

ψ = {ax,       0 ≤ x ≤ 1    ;   0,    x< 0 and x >1.

Also find the average (expectation value) of x.

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