ermine the required value of the missing probability to make distribution a discrete probability distribution. Р(x) 3 0.21 4 ? 5 0.39 0.17 (Type an integer or a decimal.)

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**Determine the Required Value of the Missing Probability in a Discrete Probability Distribution**

To complete the given distribution as a discrete probability distribution, follow these steps:

### Probability Distribution Table

| x  | P(x) |
|----|------|
| 3  | 0.21 |
| 4  | ?    |
| 5  | 0.39 |
| 6  | 0.17 |

### Explanation of the Table

- **x** represents different outcomes of a random variable.
- **P(x)** represents the probability of each outcome.

### Problem

Determine the missing probability P(4) so that the sum of all probabilities equals 1.

### Solution

To find the missing probability, you need to ensure that the sum of all probabilities in the table is equal to 1, as required for a probability distribution. Thus, calculate:

P(3) + P(4) + P(5) + P(6) = 1

\[0.21 + P(4) + 0.39 + 0.17 = 1\]

P(4) = 1 - (0.21 + 0.39 + 0.17)

### Input Field

P(4) = [ ]

*(Type an integer or a decimal.)*

Ensure you fill in the appropriate value to complete the probability distribution.
Transcribed Image Text:**Determine the Required Value of the Missing Probability in a Discrete Probability Distribution** To complete the given distribution as a discrete probability distribution, follow these steps: ### Probability Distribution Table | x | P(x) | |----|------| | 3 | 0.21 | | 4 | ? | | 5 | 0.39 | | 6 | 0.17 | ### Explanation of the Table - **x** represents different outcomes of a random variable. - **P(x)** represents the probability of each outcome. ### Problem Determine the missing probability P(4) so that the sum of all probabilities equals 1. ### Solution To find the missing probability, you need to ensure that the sum of all probabilities in the table is equal to 1, as required for a probability distribution. Thus, calculate: P(3) + P(4) + P(5) + P(6) = 1 \[0.21 + P(4) + 0.39 + 0.17 = 1\] P(4) = 1 - (0.21 + 0.39 + 0.17) ### Input Field P(4) = [ ] *(Type an integer or a decimal.)* Ensure you fill in the appropriate value to complete the probability distribution.
Expert Solution
Step 1

Given :

x p(x)
3 0.21
4 ?
5 0.39
6 0.17
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