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## Homework Statement

given a wavefuntion [tex]\Psi[/tex] = (1/sqrt50) (3[tex]\mu[/tex]

_{1}+ 5[tex]\mu[/tex]

_{2}- 4[tex]\mu[/tex]

_{3})

what is the expectation value of the total energy?

My thoughts were to calculate <[tex]\Psi[/tex]|[tex]\hat{}H[/tex]|[tex]\Psi[/tex]>

but the previous part to the question asks for the probability of each outcome(which I know how to find). So is there a way to do this using the probabilities?