CAS Exam MAS-I Fall 2018, Question 11
Study guide: Exam MAS-I
A scientist has discovered a way to create a new element. This scientist studied the new element and observed some of its properties:
- The element has a lifespan of 1 week, then it evaporates
- The element can produce offspring
- The creation of offspring is distributed as follows:
| Number of Offspring | Probability |
|---|---|
| 0 | 0.75 |
| 1 | 0.20 |
| 2 | 0.05 |
- The probability that the element will eventually die out is
\pi_0 = 1
Determine which of the following best describes the above process.
- A) Branching process
- B) Gambler's ruin
- C) Periodic Markov chain
- D) Time reversible Markov chains
- E) None of (A), (B), (C), or (D) describe this process
Answer this question and see the worked solution