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If Bob wants to send a signed message to Alice, he may do the following: Encrypts the message with his private key Adds his signature

If Bob wants to send a signed message to Alice, he may do the following:
Encrypts the message with his private key
Adds his signature "Bob" to the encrypted message
Encrypts the signed message with Alice's public key
Sends the message
a) If someone other than Alice intercepts this message, what does he/she need to decrypt it?
b) After Alice receives the message, and decrypts it with her private key, she sees Bob's signature. At this point, does she know that the message is really from Bob? Why?
c) What does Alice need to do to make sure that the message is from Bob?
d) Is it likely that someone else may have been impostering Bob even if the decrypted message is a sense making text?
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