Q2. In Sault Ste. Marie, Ontario, an accounting firm's HR records indicates that on any given day, about 1% of their day shift (8:00 am - 4:00 pm) employees will miss work and 2% of their night shift (4:00 pm - 11:30 pm) will miss work. Sixty percent of the employees work the day shift. a) Is absenteeism independent of shift worked? Explain. b) What percent of employees are absent on any given day? Q4. At the annual fall carnival in Antigonish, N.S., a carnival game offers a $100 cash prize for anyone who can break a balloon by throwing darts at it. It costs $5.00 to play, and you're willing to spend $20 trying to win the cash prize. You estimate that you have about a 10% chance of hitting the balloon on any throw. a) Create a probability model (distribution) for the possible outcomes when you play this carnival game. b) Find the expected number of darts you'll throw. c) Find your expected winnings. Q4. At the annual fall carnival in Antigonish, N.S., a carnival game offers a $100 cash prize for anyone who can break a balloon by throwing darts at it. It costs $5.00 to play, and you're willing to spend $20 trying to win the cash prize. You estimate that you have about a 10% chance of hitting the balloon on any throw. a) Create a probability model (distribution) for the possible outcomes when you play this carnival game. b) Find the expected number of darts you'll throw. c) Find your expected winnings