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The random variable N has the following PMF: n = 1,2,3 Pv (n) = √% n 0 otherwise Find: 1- The value of the constant c? 2- P(N = 1)? 3- P(N≥2)?

The random variable N has the following PMF: n = 1,2,3 Pv (n) = √% n 0 otherwise Find: 1- The value of the constant c? 2- P(N = 1)? 3- P(N≥2)?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Example (using the discrete R.V. properties)** The random variable \( N \) has the following PMF: \[ P_N(n) = \begin{cases} \frac{c}{n} & \text{for } n = 1, 2, 3 \\ 0 & \text{otherwise} \end{cases} \] **Find:** 1. The value of the constant \( c \)? 2. \( P(N = 1) \)? 3. \( P(N \geq 2) \)? 4. \( P(N > 3) \)? **Solution:**
Transcribed Image Text:**Example (using the discrete R.V. properties)** The random variable \( N \) has the following PMF: \[ P_N(n) = \begin{cases} \frac{c}{n} & \text{for } n = 1, 2, 3 \\ 0 & \text{otherwise} \end{cases} \] **Find:** 1. The value of the constant \( c \)? 2. \( P(N = 1) \)? 3. \( P(N \geq 2) \)? 4. \( P(N > 3) \)? **Solution:**
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