pls solve for all thanks

2. A particle with some kinetic energy is created in an empty, infinite universe. You are 55% certain it is moving to the right (momentum =+k ) and thus there is a 45% chance it is moving left (momentum =k). If I write the wavefunction (x) as a linear sum of normalized momentum eigenvectors: Nn(x), where N is the normalization constant, the result is: (x)=c1N1(x)+c2N2(x)=0.7416Neikx+0.6708Neikx a. How did I determine that c1=0.7416 and c2=0.6708 ? Does it have anything to do with the functions that they multiply (i.e. Neikx,Neikx )? (2 pts) b. Please derive the expectation value p of momentum for this particle using the formula: p=[c11(x)+c22(x)]ix[c11(x)+c22(x)]x Hint: N2eikxeikxx=1,N2eikxeikxx=0 and N2eikxeikxx=0 (10 pts)