Fill in the P (X=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are 1, 2, 3, 4, and 5. Value x of X -1 2 3 4 5 X P ( X = x) 0.12 0.26 0.12

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Instruction:**

Fill in the \( P(X = x) \) values to give a legitimate probability distribution for the discrete random variable \( X \), whose possible values are \(-1, 2, 3, 4,\) and \(5\).

**Table: Probability Distribution**

| Value \(x\) of \(X\) | \( P(X = x) \) |
|--------------------|-----------------|
| \(-1\)             | [empty]         |
| \(2\)              | 0.12            |
| \(3\)              | [empty]         |
| \(4\)              | 0.26            |
| \(5\)              | 0.12            |

**Task:** Assign probability values to the empty boxes such that the sum of all probabilities equals 1, ensuring a legitimate probability distribution.
Transcribed Image Text:**Instruction:** Fill in the \( P(X = x) \) values to give a legitimate probability distribution for the discrete random variable \( X \), whose possible values are \(-1, 2, 3, 4,\) and \(5\). **Table: Probability Distribution** | Value \(x\) of \(X\) | \( P(X = x) \) | |--------------------|-----------------| | \(-1\) | [empty] | | \(2\) | 0.12 | | \(3\) | [empty] | | \(4\) | 0.26 | | \(5\) | 0.12 | **Task:** Assign probability values to the empty boxes such that the sum of all probabilities equals 1, ensuring a legitimate probability distribution.
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