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1. Bob receives three kinds of emails. Important emails, mundane emails and spam. Ten percent of emails are important, seventy percent are mundane and

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1. Bob receives three kinds of emails. Important emails, mundane emails and spam. Ten percent of emails are important, seventy percent are mundane and twenty percent are spam. Important emails are marked as spam only one percent of the time, mundane emails are marked as spam ten percent of the time and actual spam emails are marked as spam eighty percent of the time. a Compute the probability of an email being important if it was marked as spam. [4] b Compute the probability of an email being spam if it was marked as spam. [4] e Compute the probability of an email being important if it was marked as not spam. [4] d The probability of an email being mundane if it was not marked as spam. [4]

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