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If X is a geometric random variable, show analytically

Chapter 4, Problem 27TE

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QUESTION:

Problem 27TE

If X is a geometric random variable, show analytically that

Using the interpretation of a geometric random variable, give a verbal argument as to why the preceding equation is true.

Questions & Answers

QUESTION:

Problem 27TE

If X is a geometric random variable, show analytically that

Using the interpretation of a geometric random variable, give a verbal argument as to why the preceding equation is true.

ANSWER:

Answer

Step 1 of 1

(a)

If  is a geometric random variable, then we have to show analytically that

……..(1)

Using the interpretation of a geometric random variable, give a verbal argument as to why the preceding equation is true.

If  is a geometric random variable, then we can write,

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