shipment of 9 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. If x is the number of defective sets purchased by the hotel, find the probability distribution o Express the results graphically as a probability histogram. ind the probability distribution of X. 2 f(x) Type integers or simplified fractions.) Express the results graphically as a probability histogram. Choose the correct graph below. DA. OB. OC. OD. 3/4 3/4 3/4 3/4
shipment of 9 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. If x is the number of defective sets purchased by the hotel, find the probability distribution o Express the results graphically as a probability histogram. ind the probability distribution of X. 2 f(x) Type integers or simplified fractions.) Express the results graphically as a probability histogram. Choose the correct graph below. DA. OB. OC. OD. 3/4 3/4 3/4 3/4
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Problem Statement:**
A shipment of 9 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. If \( x \) is the number of defective sets purchased by the hotel, find the probability distribution of \( X \). Express the results graphically as a probability histogram.
---
**Tasks:**
1. **Find the probability distribution of \( X \):**
\[
\begin{array}{|c|c|c|c|c|}
\hline
x & 0 & 1 & 2 \\
\hline
f(x) & \square & \square & \square \\
\hline
\end{array}
\]
*(Type integers or simplified fractions.)*
2. **Express the results graphically as a probability histogram. Choose the correct graph below.**
**Options:**
- **Graph A:**
- Displays three bars for \( x = 0, 1, 2 \).
- Heights show probabilities visually for each value of \( x \).
- **Graph B:**
- Displays three bars for \( x = 0, 1, 2 \).
- Heights indicate different probabilities visually, likely the correct distribution.
- **Graph C:**
- Displays three bars for \( x = 0, 1, 2 \).
- Heights inaccurately represent the correct distribution compared to calculation.
- **Graph D:**
- Displays three bars for \( x = 0, 1, 2 \).
- Heights do not accurately match the probability distribution calculated.
---
*Choose the option that matches the calculated probability distribution.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F19ce5c21-bf2d-47e1-a031-6b7035d7f95d%2Fd16029f9-5077-4254-a299-f1b68703215a%2Fh38nf0j_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
A shipment of 9 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. If \( x \) is the number of defective sets purchased by the hotel, find the probability distribution of \( X \). Express the results graphically as a probability histogram.
---
**Tasks:**
1. **Find the probability distribution of \( X \):**
\[
\begin{array}{|c|c|c|c|c|}
\hline
x & 0 & 1 & 2 \\
\hline
f(x) & \square & \square & \square \\
\hline
\end{array}
\]
*(Type integers or simplified fractions.)*
2. **Express the results graphically as a probability histogram. Choose the correct graph below.**
**Options:**
- **Graph A:**
- Displays three bars for \( x = 0, 1, 2 \).
- Heights show probabilities visually for each value of \( x \).
- **Graph B:**
- Displays three bars for \( x = 0, 1, 2 \).
- Heights indicate different probabilities visually, likely the correct distribution.
- **Graph C:**
- Displays three bars for \( x = 0, 1, 2 \).
- Heights inaccurately represent the correct distribution compared to calculation.
- **Graph D:**
- Displays three bars for \( x = 0, 1, 2 \).
- Heights do not accurately match the probability distribution calculated.
---
*Choose the option that matches the calculated probability distribution.*
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