Here's the breakdown of the problem using a tree diagram and probability calculations.
Part (a): Draw a tree diagram to show the events.
Let's define the events and their probabilities:
- R: Karanja rides his bicycle to work.
- R': Karanja does not ride his bicycle to work.
- B: Karanja is bitten by a rabid dog.
- B': Karanja is not bitten by a rabid dog.
- T: Karanja gets treatment after being bitten.
- T': Karanja does not get treatment after being bitten.
- Rabies: Karanja gets rabies.
- No Rabies: Karanja does not get rabies.
Given probabilities: