Question

Casey has 3 different email accounts. Casey receives 75% and 17% of their emails in their...

Casey has 3 different email accounts. Casey receives 75% and 17% of their emails in their work account and in their Xmail account, respectively. Casey receives other emails in their Hotmail account. Only 0.5% of the emails in their work account are spam; 10% of the emails in their Xmail account are spam; and 90% of the emails in their Hotmail account are spam.

(a) What is the probability that a randomly selected email is spam?

(b) If we know that a an email received is spam, what is the probability that the email arrived to Casey's Xmail account?

Math   Statistics-And-Probability   
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