Question

In: Statistics and Probability

Suppose your mom met someone on the train. Not knowing anything else about this conversation, the...

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.

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