Question

(b) P (BIA) (c) P (AIB) 2-179. An e-mail filter is planned to separate valid e-mails from spam. The word free occurs in 60% of the spam mes sages and only 4% of the valid messages. Also, 20% of the messages are spam. Determine the following probabilities: (a) The message contains free. (b) The message is spam given that it contains free. (c) The message is valid given that it does not contain free.

Name: b p bia c p aib 2 179 an e mail filter is planned to separate valid e mails from spam the word free occurs in 60 of the spam mes sages and only 4 of the valid messages also 20 of the message 24119
Uploaded: 2021-12-15T21:06:38-08:00
Duration: 2 min 20 s
Channel: Tatiana Graham
Description: b p bia c p aib 2 179 an e mail filter is planned to separate valid e mails from spam the word free occurs in 60 of the spam mes sages and only 4 of the valid messages also 20 of the message 24119

          (b) P (BIA) (c) P (AIB)
2-179. An e-mail filter is planned to separate valid e-mails
from spam. The word free occurs in 60% of the spam mes sages and only 4% of the valid messages. Also, 20% of the messages are spam. Determine the following probabilities:
(a) The message contains free.
(b) The message is spam given that it contains free. (c) The message is valid given that it does not contain free.

Added by Douglas R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Tatiana Graham

12/15/2021

Step 1

6 (probability of "free" given spam) - P(F|A) = 0.04 (probability of "free" given valid) - P(S) = 0.2 (probability of spam) - P(A) = 0.8 (probability of valid) Use the law of total probability: P(F) = P(F|S) * P(S) + P(F|A) * P(A) P(F) = 0.6 * 0.2 + 0.04 * Show more…

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(b) P (BIA) (c) P (AIB) 2-179. An e-mail filter is planned to separate valid e-mails from spam. The word free occurs in 60% of the spam mes sages and only 4% of the valid messages. Also, 20% of the messages are spam. Determine the following probabilities: (a) The message contains free. (b) The message is spam given that it contains free. (c) The message is valid given that it does not contain free.