Question
I need help with part (b) of this question: A website reports that 70% of its users are from outside a certain country. Out of
I need help with part (b) of this question:
A website reports that 70% of its users are from outside a certain country. Out of their users from outside the country, 60% of them log on every day. Out of their users from inside the country, 80% of them log on every day.
Part (a) I've figured out: What percent of all users log on every day? P(XjF)P(F) = 42% + 24% = 66%.
(b) Using Bayes Theorem, out of users who log on every day, what is the probability that they are from inside the country?
So far I've got this, but I'm not sure what numbers to plug in and where:
We already know that because 70% of total users are from outside the country, that leaves 30% of the website's users inside the country and we have been told that 80% of those log on every day. Let Y represent the users who log on every day from inside the country. Let X represent the users who log on every day regardless of location. Bayes' Theorem: P(Y|X) = P(X|Y)P(Y)/P(X)
I'm not sure where to go next with this! Help!
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