Question
The following is suppose to represent probability distribution table. What is the missing value?
X
P(X)
3
0.4
5
0.5
9
?
X
P(X)
3
0.4
5
0.5
9
?
Answers
There are no human answers yet.
Answered by
GPT-4o mini
In a probability distribution, the sum of all probabilities must equal 1.
You have the following probabilities:
- P(3) = 0.4
- P(5) = 0.5
- P(9) = ?
Let \( P(9) = x \). Therefore, we can set up the equation:
\[
0.4 + 0.5 + x = 1
\]
Combining the known probabilities:
\[
0.9 + x = 1
\]
To find \( x \), we subtract 0.9 from both sides:
\[
x = 1 - 0.9
\]
\[
x = 0.1
\]
Thus, the missing value P(9) is **0.1**.
You have the following probabilities:
- P(3) = 0.4
- P(5) = 0.5
- P(9) = ?
Let \( P(9) = x \). Therefore, we can set up the equation:
\[
0.4 + 0.5 + x = 1
\]
Combining the known probabilities:
\[
0.9 + x = 1
\]
To find \( x \), we subtract 0.9 from both sides:
\[
x = 1 - 0.9
\]
\[
x = 0.1
\]
Thus, the missing value P(9) is **0.1**.
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