9. Suppose your roomate believes in Astrology. He is only interested in having friendships with people who were born under the astrological sign Gemini. At parties, he is known to go from person to person, asking them "what's your sign?" and only stopping to converse with the person when he she is a Gemini. The probability of any person being a Gemini is 1/12. Let X be a random variable for the number of people at the party your friend must talk to before finding a Gemini. a. (10 points) Write out a.) the PDF (P(x)) and b.) the Distribution Function (F(x)) for X. (Note: You may stop writing at X=3.)