Discrete Probability
Distribtuion
EXAMPLE
For this example consider the probability experiment of flipping two coins:
Yet this week we are considering random variables... so let our random variable count the number of heads, that is
So we can make our table of outcomes and frequencies as follows
Outcome (\(X\)) | Frequency |
0 | 1 |
1 | 2 |
2 | 1 |
Total: | 4 |
Then we can take a frequencies for each outcome and divide by the total frequency and get out probabilities
Outcome (\(X\)) | Frequency | Probability \(P(x)\) |
0 | 1 | \(\frac{1}{4}=0.25\) |
1 | 2 | \(\frac{2}{4}=0.50\) |
2 | 1 | \(\frac{1}{4}=0.25\) |
Total: | 4 |
Then Graphing only these probabilities we get