Determine the required value of the missing probability to make the distribution a discrete probability distribution. P(x) D 3 0.18 4 ? 0.34 6 0.22 ..... P(4) = (Type an integer or a decimal.)

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Determine the required value of the missing probability to make the distribution a discrete probability distribution.

| x | P(x)  |
|---|-------|
| 3 | 0.18  |
| 4 | ?     |
| 5 | 0.34  |
| 6 | 0.22  |

P(4) = ⬜ (Type an integer or a decimal.)

To solve for the missing probability P(4), the sum of all probabilities in a discrete probability distribution should equal 1. Calculate the missing value by ensuring the total probability equals 1:

\[ P(3) + P(4) + P(5) + P(6) = 1 \]

Given:
\[ P(3) = 0.18, \]
\[ P(5) = 0.34, \]
\[ P(6) = 0.22. \]

Add the known probabilities and subtract from 1:
\[ 0.18 + 0.34 + 0.22 = 0.74 \]

\[ 1 - 0.74 = 0.26 \]

Therefore, P(4) = 0.26.
Transcribed Image Text:Determine the required value of the missing probability to make the distribution a discrete probability distribution. | x | P(x) | |---|-------| | 3 | 0.18 | | 4 | ? | | 5 | 0.34 | | 6 | 0.22 | P(4) = ⬜ (Type an integer or a decimal.) To solve for the missing probability P(4), the sum of all probabilities in a discrete probability distribution should equal 1. Calculate the missing value by ensuring the total probability equals 1: \[ P(3) + P(4) + P(5) + P(6) = 1 \] Given: \[ P(3) = 0.18, \] \[ P(5) = 0.34, \] \[ P(6) = 0.22. \] Add the known probabilities and subtract from 1: \[ 0.18 + 0.34 + 0.22 = 0.74 \] \[ 1 - 0.74 = 0.26 \] Therefore, P(4) = 0.26.
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