The word free is contained in 4.75% of all messages, and 3.57% of all messages both contain

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The word ‘‘free” is contained in 4.75% of all messages, and 3.57% of all messages both contain the word ‘‘free” and are marked as spam.

(a) What is the probability that a message contains the word ‘‘free”, given that it is spam?

(b) What is the probability that a message is spam, given that it contains the word ‘‘free”? 


Refer to a large collection of real SMS text messages from participating cellphone users.13 In this collection, 747 of the 5574 total messages (13.40%) are identified as spam.

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Statistics Unlocking The Power Of Data

ISBN: 9780470601877

1st Edition

Authors: Robin H. Lock, Patti Frazer Lock, Kari Lock Morgan, Eric F. Lock, Dennis F. Lock

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