(20 points)Imagine you are at the movies and a fellow moviegoer drops their ticket. You want to get their attention. This is what they look like from behind. You can't tell their gender, only that they have long hair. Do you call out"Excuse me ma'am!"or"Excuse me sir!".

Assume that following statistics is available regarding the movie goers:

-Out of 100 people, 60 are men, 40 are women.

-Out of the women, half have long hair (20) and the other 20 have short hair.

-Out of the men, 50 have short hair and 10 have long hair.

a)Draw a tree representing the four possible outcomes.

b)What is the probability that a fellow movie goer is a male given that their hair is long?