An Enrichment Program is a mandatory program for every student in a university, a survey

is done to determine the student interest in Research Track, one of the tracks that could be chosen in

Enrichment Program, and the correlation with the students' background. In general, the probability of a

student is a Computer Science student is 25%. Then, the probability of a student is a Female is 40%.

There is also other observations, as follow:

-The probability of a Computer Science student is a Female taking interest in AI is 20%

-The probability of a Computer Science student is a Male taking interest in Ai is 30%

-The probability of a non-Computer Science student is a Female taking interest in AI is 0%

-The probability of a non-Computer Science student is a Male taking interest in AI is 40%

Then, the probability of a student taking interest in AI to enroll in Research Track is 50%. There is

another case, where the probability of a student enrolling in Research Track without taking interest in AI

is 10%.

Question: Calculate the probability of a student taking Research Track is a Female!