In: Statistics and Probability
Suppose your mom met someone on the train. Not knowing anything else about this conversation, the probability that she was speaking to a woman is 48%. We've discovered that 72^ of women in this city have long hair and 11% of men in this city have long hair. Each problem must be presented in terms of events (e.g., P(L|M)).
A) Create a Tree Diagram
B) What is the probability that your mom was having a conversation with someone that has long hair?
C) What is the probability that your mom was having a conversation with a man that has long hair?
D) Suppose your mom had a conversation with someone that has long hair, what is the probability that it was a woman?
**Please show your work, you can make the tree diagram as simple as you want.