The Geometric Distribution Worksheet with Answer Key

What's on the worksheet

1. Each X below is a geometric random variable with the given probability of success p on each trial.
   p = 0.35: \;P(X = 3)p = 0.15: \;P(X > 8)p = 0.4: \;P(X \le 3)p = 0.6: \;P(X < 3)
2. In a video game, each loot crate a player opens holds a rare skin with probability 0.06, independently of every other crate (a made-up rate).
3. For
4. A GPS collar on an elk tries every ten minutes to send the animal's location to a base station, and it keeps trying until one try goes through.
5. Carlos sweeps a metal detector along a beach and digs up every signal it finds.
6. Amara sends out applications for summer internships one at a time, and each application brings an interview invitation with the same probability p,…
7. A birder at a pond counts the ducks that land, one at a time.