Questions: Determine whether this table represents a probability distribution.
x P(x)
------
0 0.3
1 0.1
2 0.25
3 0.3
Yes, it is a probability distribution
No, it is not a probability distribution
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Quiz: Chapter 3 - Elementary
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Course Home Syllabus Content Communication $~$ Assessment
Table of Contents , Materials and Assignment links , Chapter 3 - Probability Distributions
Quiz: Chapter 3
Quiz: Chapter 3
14 points possible Answered: 8/14
Question 9
Determine whether this table represents a probability distribution.
\begin{tabular}{|r|r|}
\hline$x$ & $P(x)$ \\
\hline 0 & 0.3 \\
\hline 1 & 0.1 \\
\hline 2 & 0.25 \\
\hline 3 & 0.3 \\
\hline
\end{tabular}
Yes, it is a probability distribution
No, it is not a probability distribution
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Solution
Solution Steps
Step 1: Check Probability Values
All probabilities are within the valid range \([0, 1]\).
Step 2: Check Total Probability
The sum of all probabilities is 0.95, not equal to 1. Therefore,
the table does not represent a valid probability distribution.
Final Answer:
The given table does ^not^ represent a probability distribution.