2. (10 pts) Chris is going up the stairs. Since Chris has long legs, Chris can...

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2. (10 pts) Chris is going up the stairs. Since Chris has long legs, Chris can either go up one stair or two stairs at a time. Suppose Chris is now at 0th stair, and Chris goes up two stairs at a time with probability of 2/5 whichever stair he is at. Also, each move is independent of other moves. For instance, at Chris' first move, Chris moves to the 1st stair with probability 3/5 and to the 2nd stair directly (skipping the 1st stair) with probability 2/5. Find P(Chris stepped on the 2nd stair | Chris stepped on the 3rd stair). 2. (10 pts) Chris is going up the stairs. Since Chris has long legs, Chris can either go up one stair or two stairs at a time. Suppose Chris is now at 0th stair, and Chris goes up two stairs at a time with probability of 2/5 whichever stair he is at. Also, each move is independent of other moves. For instance, at Chris' first move, Chris moves to the 1st stair with probability 3/5 and to the 2nd stair directly (skipping the 1st stair) with probability 2/5. Find P(Chris stepped on the 2nd stair | Chris stepped on the 3rd stair).

Answer rating: 100% (QA)

We can use Bayes theorem to find the probability of Chris being on the 2nd stair given that he stepp... View the full answer