Let X have a geometric distribution. Show that P(X > k + j

Chapter 2, Problem 2.3-18

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QUESTION:

Let X have a geometric distribution. Show that P(X > k + j | X > k) = P(X > j), where k and j are nonnegative integers. Note: We sometimes say that in this situation there has been loss of memory

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QUESTION:

Let X have a geometric distribution. Show that P(X > k + j | X > k) = P(X > j), where k and j are nonnegative integers. Note: We sometimes say that in this situation there has been loss of memory

ANSWER:

Step 1 of 3

DEFINITIONS

Definition geometric probability:

Definition Conditional probability:

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