Discrete and Continuous Random Variables
Answer these 4 questions. Show your work to receive partial credit.
- Dr. Gruner brings his old pocket watch to be repaired. The gears stopped and will not turn. What is the probability that the hour hand is between the 7 and the 9?
- A basketball player makes baskets from the foul line 94% of the time. If she makes 8 attempts, what is the probability she will miss no more than twice?
- Historically, the number of hurricanes hitting Boca Raton each year follows a Poisson distribution with a mean of 1. What is the probability that 3 or more hurricanes hit the town in a year?
- For $15 you can may play a game of chance: Roll a 6 sided die. You square the number you roll and you win that much cash. What is the expected value of such a game (take into account the cost to play)?
Grading: Each problem is worth 25 points.