stics of all e-mails I received into my inbox ained NO attachments, ined Microsoft-Word-document attachmen ined a .rar file attachments, and ined an .exe file attachments. ng all e-mails, the following further statistic

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(Topic: Total Probability and Bayes Theorem)
Over the past year, statistics of all e-mails I received into my inbox were as follows:
• 56% of e-mails contained NO attachments,
• 17% of e-mails contained Microsoft-Word-document attachments,
• 13% of e-mails contained a .rar file attachments, and
• 14% of e-mails contained an .exe file attachments.
Moreover, after inspecting all e-mails, the following further statistics were revealed:
• Out of the e-mails contained no attachments, 97% were legitimate and the remaining ones were spam.
• Out of the e-mails contained MS Word attachments, 53% were legitimate and the remaining ones were
spam.
• Out of the e-mails contained rar attachments, 14% were legitimate and the remaining ones were spam.
• All the e-mails contained exe attachments were spam.
Assume that this year's e-mails will also follow the previous statistics.
Transcribed Image Text:(Topic: Total Probability and Bayes Theorem) Over the past year, statistics of all e-mails I received into my inbox were as follows: • 56% of e-mails contained NO attachments, • 17% of e-mails contained Microsoft-Word-document attachments, • 13% of e-mails contained a .rar file attachments, and • 14% of e-mails contained an .exe file attachments. Moreover, after inspecting all e-mails, the following further statistics were revealed: • Out of the e-mails contained no attachments, 97% were legitimate and the remaining ones were spam. • Out of the e-mails contained MS Word attachments, 53% were legitimate and the remaining ones were spam. • Out of the e-mails contained rar attachments, 14% were legitimate and the remaining ones were spam. • All the e-mails contained exe attachments were spam. Assume that this year's e-mails will also follow the previous statistics.
if I receive an e-mail that is legitimate, what is the probability it contains no attachment?
00.56
00.97
0.8338
00.5432
Transcribed Image Text:if I receive an e-mail that is legitimate, what is the probability it contains no attachment? 00.56 00.97 0.8338 00.5432
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