Determine whether the table gives the probability distribution of the random variable X.Explain your answer. ### Problem 13The table displays the probability distribution for a discrete random variable $X$. The values of $x$ range from $-3$ to $2$, and their corresponding probabilities $P(X = x)$ are as follows:| $x$ | $-3$ | $-2$ | $-1$ | $0$ | $1$ | $2$ ||------------|-------|-------|-------|-------|-------|-------|| $P(X = x)$ | 0.2 | 0.4 | 0.3 | $-0.2$ | 0.1 | 0.1 |**Explanation:**- The first row lists all possible values that the random variable $X$ can take.- The second row provides the probabilities associated with each value of $X$.- Notably, the probability for $x = 0$ is $-0.2$, which is not a valid probability as probabilities cannot be negative.

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Description: Determine whether the table gives the probability distribution of the random variable X.Explain your answer. ### Problem 13The table displays the probability distribution for a discrete random variable $X$. The values of $x$ range from $-3$ to

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Determine whether the table gives the probability distribution of the random variable X

A First Course in Probability (10th Edition)

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

Determine whether the table gives the probability distribution of the random variable X.

Explain your answer.

### Problem 13

The table displays the probability distribution for a discrete random variable $X$. The values of $x$ range from $-3$ to $2$, and their corresponding probabilities $P(X = x)$ are as follows:

| $x$ | $-3$ | $-2$ | $-1$ | $0$ | $1$ | $2$ |
|------------|-------|-------|-------|-------|-------|-------|
| $P(X = x)$ | 0.2 | 0.4 | 0.3 | $-0.2$ | 0.1 | 0.1 |

**Explanation:**
- The first row lists all possible values that the random variable $X$ can take.
- The second row provides the probabilities associated with each value of $X$.
- Notably, the probability for $x = 0$ is $-0.2$, which is not a valid probability as probabilities cannot be negative.

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