Given the following probability distribution for the random variable x, what is the probability that the random variable has a value of 0? X 0 1 2 3 4 5 P(x) ? 0.23 0.08 0.04 0.32 0.17 Wis

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**Probability Distribution Problem**

Given the following probability distribution for the random variable \( x \), what is the probability that the random variable has a value of 0?

| \( x \)   | 0   | 1   | 2   | 3   | 4   | 5   |
|-----------|-----|-----|-----|-----|-----|-----|
| \( P(x) \)| ?   | 0.23| 0.08| 0.04| 0.32| 0.17|

**Explanation:**

To find the missing probability \( P(x = 0) \), recall that the sum of all probabilities in a probability distribution must equal 1. 

Thus, we calculate:

\( P(x = 0) = 1 - (0.23 + 0.08 + 0.04 + 0.32 + 0.17) \).
Transcribed Image Text:**Probability Distribution Problem** Given the following probability distribution for the random variable \( x \), what is the probability that the random variable has a value of 0? | \( x \) | 0 | 1 | 2 | 3 | 4 | 5 | |-----------|-----|-----|-----|-----|-----|-----| | \( P(x) \)| ? | 0.23| 0.08| 0.04| 0.32| 0.17| **Explanation:** To find the missing probability \( P(x = 0) \), recall that the sum of all probabilities in a probability distribution must equal 1. Thus, we calculate: \( P(x = 0) = 1 - (0.23 + 0.08 + 0.04 + 0.32 + 0.17) \).
Expert Solution
Step 1l
x p(x)
0 a
1 0.23
2 0.08
3 0.04
4 0.32
5 0.17

 

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