Please help to solve this probability problem. The numbers on
the line (excluding the question numbers like 1. 2. 3.) are the
final correct answers (for this question, the correct answers are
2.44 and 17.00 respectively). Please give detailed steps to explain
how to get the final correct answer. Thanks!
3. Fill in the blanks a A lab mouse is trapped in a cell containing 3 doors. • Door A leads it to a tunnel that returns to the cell after 2 meters of travel. • Door B leads it to a tunnel that returns to the cell after 4 meters of travel. • Door C leads it to the exit after 6 meters of travel. The mouse has no memory of its past selections and each time it selects door A,B,C with probabilities 50%, 30%, 20% respectively. What is the expected distance that the mouse travels until it reaches the exit? Ans: 1. 17.00 meters (2 decimal places)
4. Fill in the blanks The building S17 in NUS has eight floors, including the ground floor. The number of people who enter an elevator on the ground floor follows a Poisson distribution with mean 3. Each person who enters the elevator on the ground floor is equally likely to get off the elevator at any of the 7 floors above, independently of where the others get off. What is the expected number of stops that the elevator will make before all its passengers get off? Ans: 1. 2.44 (2 decimal places)
Please help to solve this probability problem. The numbers on the line (excluding the question numbers like 1. 2. 3.) ar
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