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P15.5 Suppose that the wave function for a system can be written as (x)=431(x)+2232(x)+42+3i3(x) and that 1(x),2(x), and 3(x) are orthonormal eigenfunctions of the operator E^kinetic with eigenvalues E1,2E1, and 4E1, respectively. a. Verify that (x) is normalized. b. What are the possible values that you could obtain in measuring the kinetic energy on identically prepared systems? c. What is the probability of measuring each of these eigenvalues? d. What is the average value of Ekinetic that you would obtain from a large number of measurements