The developers of the spam filter wish to reduce the

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An email spam filter checks an incoming email for a list of key words. If enough of these key words are present, then the email is automatically sent to the spam folder. The filter is 95% accurate in correctly identifying a spam email, but will incorrectly send a non-spam email to the spam folder with probability 0.5%. Previous data suggests that 4% of emails are spam emails.

A) What is the probability that a randomly selected email will be labelled as spam?

B) Use your result from A to determine the probability that an email which has not been identified as spam is actually a spam email.

C) The developers of the spam filter wish to reduce the probability in part B to 0.1%. What should the probability of the filter correctly identifying a spam email be increased to so that this objective is reached?

Reference no: EM13613734

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