Complete the following probability distribution table: Probability Distribution Table X P(X) -25 -22 29 81 0.2 0.3 0.2

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**Probability Distribution Table**

Complete the following probability distribution table:

|      X      |  P(X)  |
|:-----------:|:------:|
|    -25      |    ?   |
|    -22      |   0.2  |
|    29       |   0.3  |
|    81       |   0.2  |


**Explanation:**

- The table above is a probability distribution table displaying the possible values of a random variable \( X \) and their corresponding probabilities \( P(X) \).
- The probabilities in the \( P(X) \) column should sum up to 1 to satisfy the property of a probability distribution.
- The table is missing the probability for \( X = -25 \). To find this value, we can use the sum of probabilities property:
  
  \[
  P(-25) + 0.2 + 0.3 + 0.2 = 1
  \]

  Solving for \( P(-25) \):
  
  \[
  P(-25) + 0.7 = 1
  \]
  
  \[
  P(-25) = 1 - 0.7
  \]
  
  \[
  P(-25) = 0.3
  \]

- Therefore, the probability \( P(-25) \) is 0.3.
Transcribed Image Text:**Probability Distribution Table** Complete the following probability distribution table: | X | P(X) | |:-----------:|:------:| | -25 | ? | | -22 | 0.2 | | 29 | 0.3 | | 81 | 0.2 | **Explanation:** - The table above is a probability distribution table displaying the possible values of a random variable \( X \) and their corresponding probabilities \( P(X) \). - The probabilities in the \( P(X) \) column should sum up to 1 to satisfy the property of a probability distribution. - The table is missing the probability for \( X = -25 \). To find this value, we can use the sum of probabilities property: \[ P(-25) + 0.2 + 0.3 + 0.2 = 1 \] Solving for \( P(-25) \): \[ P(-25) + 0.7 = 1 \] \[ P(-25) = 1 - 0.7 \] \[ P(-25) = 0.3 \] - Therefore, the probability \( P(-25) \) is 0.3.
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