8. Carrot the Cat Carrot the cat likes taking naps in one of four locations: the rug, the bed, the ledge, and the sink. Carrot has the following conditions: • He will not sleep in the sink twice in a row • He will sleep on the ledge only if he slept on the rug the previous time Let L(n) be the number of possible sequences of locations for n naps, where n ≥0. (a) Give a recurrence relation for L(n). (b) Give the initial conditions for your recurrence. Include

8. Carrot the Cat Carrot the cat likes taking naps in one of four locations: the rug, the bed, the ledge, and the sink. Carrot has the following conditions: • He will not sleep in the sink twice in a row • He will sleep on the ledge only if he slept on the rug the previous time Let L(n) be the number of possible sequences of locations for n naps, where n ≥0. (a) Give a recurrence relation for L(n). (b) Give the initial conditions for your recurrence. Include

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.3: Conditional Probability; Independent Events; Bayes' Theorem

Problem 86E

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