4- P(N> 3)?
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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![### Discrete Random Variables
#### Example (using the discrete R.V. properties)
The random variable \( N \) has the following PMF (Probability Mass Function):
\[
P_N(n) =
\begin{cases}
\frac{c}{n} & \text{for } n = 1, 2, 3 \\
0 & \text{otherwise}
\end{cases}
\]
**Tasks:**
1. Determine the value of the constant \( c \).
2. Calculate \( P(N = 1) \).
3. Calculate \( P(N \geq 2) \).
4. Calculate \( P(N > 3) \).
**Solution:**
You can fill in the details here once the calculations are completed. Ensure to use the properties of probability mass functions for discrete variables to solve the tasks above.
*Note: There are no graphs or diagrams in this image.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe36fb7f7-6381-4add-b52b-9085dfd27844%2Ff27a3c3a-864f-47e6-8616-832f300e6b47%2F6gqhp89_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Discrete Random Variables
#### Example (using the discrete R.V. properties)
The random variable \( N \) has the following PMF (Probability Mass Function):
\[
P_N(n) =
\begin{cases}
\frac{c}{n} & \text{for } n = 1, 2, 3 \\
0 & \text{otherwise}
\end{cases}
\]
**Tasks:**
1. Determine the value of the constant \( c \).
2. Calculate \( P(N = 1) \).
3. Calculate \( P(N \geq 2) \).
4. Calculate \( P(N > 3) \).
**Solution:**
You can fill in the details here once the calculations are completed. Ensure to use the properties of probability mass functions for discrete variables to solve the tasks above.
*Note: There are no graphs or diagrams in this image.*
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Probability mass function of Discrete Random Variable .
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