CAS Exam MAS-I Spring 2019, Question 8
Study guide: Exam MAS-I
On any given day, Alan will play either one or two games of billiards.
- If he plays one game today, he'll play one game tomorrow with probability 0.6
- If he plays two games today, he'll play two games tomorrow with probability 0.7
- His probability of winning each game is 0.6
It is now Monday and Alan played two games today.
Calculate Alan's expected number of wins two days from now on Wednesday.
- A) Less than 0.90
- B) At least 0.90, but less than 0.95
- C) At least 0.95, but less than 1.00
- D) At least 1.00, but less than 1.05
- E) At least 1.05
Answer this question and see the worked solution
Concepts tested
- Markov Chain
- Expected Value
- Binomial Distribution
- Transition Probability Matrix
- Chapman-Kolmogorov Equations