Stat 304 Homework 1 Please estimate probabilities for the following questions, and show your work whenever possible. 1. A student keeps a mood diary for a psychology experiment. Over a 30-day period, he is happy on 13 days, grumpy on 5 days, sad on 2 days, and anxious on 10 days. Compute the probability that tomorrow he will be: a) Happy b) Grumpy c) Anxious d) Sad or Grumpy 2. Given a standard 52 card playing deck, determine the probability of the following events: a) Probability of drawing a 7 (of any suit) b) Probability of drawing a red king c) Probability of drawing any black card 3. Your friend Bill has been playing roulette for several rounds. He keeps better on Red. The last five spins have come out Black. Bill increases his bet on Red, saying that Red is "due". Is this a good idea? Explain why or why not