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
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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**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.*
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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