A website reports that 70% of its users are from outside a certain country, and 60% of its users logon the website every day. Suppose that for its users from inside the country, that 80% of them log onevery day. What is the probability that a person is from the country given that he logs on the websiteevery day? Has the probability that he is from the country increased or decreased with the additionalinformation?

The value is

The probability has increased

Step-by-step explanation:

From the question we are told that

   The percentage that are from outside the country is  

    The  percentage that logs on everyday is  

    The  percentage that logs on everyday that are from the inside the country is    

Generally using Bayes' Rule the probability that a person is from the country given that he logs on the website every day is mathematically represented as

Where   is the percentage that are from inside that country which is mathematically represented as

And is  percentage that logs on everyday that are from the outside  the country which is evaluated as

Given that the percentage that are from inside that country is  

and that the probability that a person is from the country given that he logs on the website every day is  

We see that the additional information increased the probability

5

step-by-step explanation: