At t = 0, a particle is prepared to assume the state V(x,0) = ¹+2i₁(x) + cos (²) sin( ³ )&₂(x) + A¥3(x) where A is a constant and the eigenfunctions ₁(x), 2(x), and 3(x) correspond to energies E₁, E2, and E3, respectively. What is the probability that the particle has energy E3? a. 0.822 b. 0.325 c. 0.675 d. 0.570

At t = 0, a particle is prepared to assume the state V(x,0) = ¹+2i₁(x) + cos (²) sin( ³ )&₂(x) + A¥3(x) where A is a constant and the eigenfunctions ₁(x), 2(x), and 3(x) correspond to energies E₁, E2, and E3, respectively. What is the probability that the particle has energy E3? a. 0.822 b. 0.325 c. 0.675 d. 0.570