In a school, 45% of students are girls and 55% are boys. Of the girls, 1% are named Parker and 99% are not. Of the Boys, 2% are named Parker and 98% are not. For a randomly chosen student in this school, define random variables: X={1​ if the student is a girl 
0 if the student is a boy ​
and Y={1 if the student is named Parker 
0  if the student is not named Parker. ​
(a) Draw a table for the joint distribution of X and Y. (b) Given a random student named Parker, what is the probability that they are a girl?