The median of a random variable X is defined as any number m that satisfies both of

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The median of a random variable X is defined as any number m that satisfies both of the following conditions: P(X m) 1 and P(X m) 1

Note that the median of X is not necessarily unique. Find the median of X if

a. The PMF of X is given by Px(k)= 0.4 0.3 0.3 lo 0 for k=1 for k= 2 for k= 3 otherwise

b. X is the result of a rolling of a fair die.

c. X ∼ Geometric(p), where 0

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Introduction To Probability Statistics And Random Processes

ISBN: 9780990637202

1st Edition

Authors: Hossein Pishro-Nik

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Question Posted: Nov 01, 2023 01:40 PM

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The median of a random variable X is defined as any number m that satisfies both of

Question:

P(X ≥ m) ≥ 1 and P(X ≤m) ≥ 1

Step by Step Answer:

Lets find the median for each case a The PMF of X is given by Px k 04 for k 1 Px k ...View the full answer

Introduction To Probability Statistics And Random Processes

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