Public key encryption and AES encryption

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Consider the following hybrid encryption scheme. Instead of signing and encrypting a file directly using public-key encryption, I generate a random session password, and use that password to encrypt the file in question using a strong secret-key algorithm such as AES. I then sign/encrypt (just) the session password. Finally, I distribute the AES-encrypted file along with the signed/encrypted password. Would this method work for preserving the confidentiality and integrity of the file in question? What are the advantages and disadvantages of this method over using just public-key encryption throughout?

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