Evaluate the cumulative distribution function, F, for the given random variable, X, at specified values; also determine the requested probabilities. f(x) = (512/73)(1/8)*, x = 1,2,3 Give exact answers in form of fraction. F(1) = F(2) = F(3) = i (a) P(X1.5) = (b) P(X ≤ 3) = i (c) P(X> 2) = (d) P(1 < X < 2) = Statistical Tables and Charts Submit Answer eTextbook and Media Save for Later Q I' C DELL Attempts: 0 of 3 used
Evaluate the cumulative distribution function, F, for the given random variable, X, at specified values; also determine the requested probabilities. f(x) = (512/73)(1/8)*, x = 1,2,3 Give exact answers in form of fraction. F(1) = F(2) = F(3) = i (a) P(X1.5) = (b) P(X ≤ 3) = i (c) P(X> 2) = (d) P(1 < X < 2) = Statistical Tables and Charts Submit Answer eTextbook and Media Save for Later Q I' C DELL Attempts: 0 of 3 used
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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![### Evaluating the Cumulative Distribution Function and Determining Requested Probabilities
#### Problem Statement
Evaluate the cumulative distribution function, \( F \), for the given random variable, \( X \), at specified values; also determine the requested probabilities.
The function is given by:
\[ f(x) = \left( \frac{512}{73} \right) \left( \frac{1}{8} \right)^x \]
for \( x = 1, 2, 3 \).
#### Questions
Provide exact answers in the form of a fraction.
1. **Find \( F(1) \):**
\[
F(1) = \frac{\quad}{\quad}
\]
2. **Find \( F(2) \):**
\[
F(2) = \frac{\quad}{\quad}
\]
3. **Find \( F(3) \):**
\[
F(3) = \frac{\quad}{\quad}
\]
4. **Probabilities:**
a) \( P(X \leq 1.5) \):
\[
P(X \leq 1.5) = \frac{\quad}{\quad}
\]
b) \( P(X \leq 3) \):
\[
P(X \leq 3) = \frac{\quad}{\quad}
\]
c) \( P(X > 2) \):
\[
P(X > 2) = \frac{\quad}{\quad}
\]
d) \( P(1 < X \leq 2) \):
\[
P(1 < X \leq 2) = \frac{\quad}{\quad}
\]
#### Additional Resources
For further understanding, refer to the **Statistical Tables and Charts**.
---
Feel free to use the eTextbook and Media resources for any additional learning materials. Save your answers and attempts will be recorded (0 of 3 used).
*Note: Ensure you use the fractions in your calculations and provide exact values for the probabilities.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5bad4e48-dad8-4710-a64b-b24b80d1efcf%2F7ad8430b-be9a-4cd4-911d-f697f5697c54%2Ft2qnrhk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Evaluating the Cumulative Distribution Function and Determining Requested Probabilities
#### Problem Statement
Evaluate the cumulative distribution function, \( F \), for the given random variable, \( X \), at specified values; also determine the requested probabilities.
The function is given by:
\[ f(x) = \left( \frac{512}{73} \right) \left( \frac{1}{8} \right)^x \]
for \( x = 1, 2, 3 \).
#### Questions
Provide exact answers in the form of a fraction.
1. **Find \( F(1) \):**
\[
F(1) = \frac{\quad}{\quad}
\]
2. **Find \( F(2) \):**
\[
F(2) = \frac{\quad}{\quad}
\]
3. **Find \( F(3) \):**
\[
F(3) = \frac{\quad}{\quad}
\]
4. **Probabilities:**
a) \( P(X \leq 1.5) \):
\[
P(X \leq 1.5) = \frac{\quad}{\quad}
\]
b) \( P(X \leq 3) \):
\[
P(X \leq 3) = \frac{\quad}{\quad}
\]
c) \( P(X > 2) \):
\[
P(X > 2) = \frac{\quad}{\quad}
\]
d) \( P(1 < X \leq 2) \):
\[
P(1 < X \leq 2) = \frac{\quad}{\quad}
\]
#### Additional Resources
For further understanding, refer to the **Statistical Tables and Charts**.
---
Feel free to use the eTextbook and Media resources for any additional learning materials. Save your answers and attempts will be recorded (0 of 3 used).
*Note: Ensure you use the fractions in your calculations and provide exact values for the probabilities.*
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