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Statistics / Fundamentals of Probability, with Stochastic Processes 3 / Chapter 3.3 / Problem 17

Fundamentals of Probability, with Stochastic Processes | 3rd Edition | ISBN: 9780131453401 | Authors: Saeed Ghahramani

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Suppose that the probability that a new seed planted in a

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Suppose that the probability that a new seed planted in a specific farm germinates is equal to the proportion of all planted seeds that germinated in that farm previously. Suppose that the first seed planted in the farm germinated, but the second seed planted did not germinate. For positive integers n and k (k < n), what is the probability that of the first n seeds planted in the farm exactly k germinat

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QUESTION:

Suppose that the probability that a new seed planted in a specific farm germinates is equal to the proportion of all planted seeds that germinated in that farm previously. Suppose that the first seed planted in the farm germinated, but the second seed planted did not germinate. For positive integers n and k (k < n), what is the probability that of the first n seeds planted in the farm exactly k germinat

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Suppose that the probability that a new seed planted in a specific farm germinates is equal to the proportion of all planted seeds that germinated in that farm previously. Suppose that the first seed planted in the farm germinated, but the second seed planted did not germinate.

Let be the probability that of the first n seeds planted in the farm exactly k germinated.

Here, and , are positive integers.

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