Question: Q U E S T I O N 1 4 According to Symantec, 49.7% of all emails were spam. You were really upset by this

Q U E S T I O N 1 4 According to Symantec, 49.7% of all emails were spam. You were really upset by this fact and decided to build your own toy spam lter with Bayes rule which outputs its belief that the input document is spam. It is known that 7% of all emails contain the word "Nigerian", and 3% of all emails contain "prince". Among spam emails, 11% contain "Nigerian" and 6% contain "prince". (Interestingly, although in all emails with "Nigerian" only 40% contain "prince", half of all spams involving "Nigerian" also have "prince" in it.)

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