Suppose that you are given a decision situation with three possible states of nature: S₁, S₂, and S₃. The prior probabilities are P(S₁) = 0.17, P(S₂) = 0.60, and P(S₃) = 0.23. With sample information I, P(I | S₁) = 0.14, P(I | S₂) = 0.04, and P(I | S₃) = 0.19. Compute the revised or posterior probabilities: P(S₁ | I), P(S₂ | I), and P(S₃ | I). If required, round your answers to four decimal places.

I need help finding the State of Nature P (S_j|I) for S₁ S₂ S₃

Can you please help me answer this and show me the steps. I'm lost.