Basic probability for quantum mechanics

athrun200
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Homework Statement


See photo 1


Homework Equations


All formula for probability.


The Attempt at a Solution


See photo 2

It seems traditional formula (involve summation) can't be used.
So how to obtain answer for b.) and c.)?

Also, I am not sure for part a.
 

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Is a sum always used to calculate expectation values?
 
George Jones said:
Is a sum always used to calculate expectation values?

I think that is average value.
To get expectation values, we need to have wave function.
However, it seems there is no relation between the needle and wave function
 
Let me try again.

Is a sum always used when calculating average values.
 
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