Consider independent flips of a coin, where the probability…

Consider independent flips of a coin, where the probability of heads is . The experiment is to flip the coin until we get our first heads. The random variable is the total number of flips we had to make to get that first heads. What is the probability that the total number of flips is ?

A 27-year-old female presents with complaints of anxiety, te…

A 27-year-old female presents with complaints of anxiety, tension, and anxious mood that has been occurring for the past three months. She is waking up in the middle of the night and sleeping about 6 hours a night. On the Hamilton anxiety rating scale (HAM-A) she scores 20. Based on the score of the Hamilton anxiety rating scale (HAM-A) she has: