The sample of an experiment is S = (1 2 3 4 5 ]. If each outcome is equally likely to occur, what is the expected probability of each outcome?
Since each outcome is equally likely to occur, the probability of each outcome is simply 1/5.
Therefore, the expected probability of each outcome is also 1/5.
To find the expected probability of each outcome in the sample, we need to calculate the probability of each outcome occurring. Since each outcome is equally likely to occur, we can assume a uniform probability distribution.
Step 1: Calculate the total number of outcomes in the sample:
Given sample S = {1, 2, 3, 4, 5}, there are a total of 5 outcomes.
Step 2: Calculate the probability of each outcome:
Since each outcome is equally likely, the probability of each outcome can be calculated by dividing 1 by the total number of outcomes.
P(1) = P(2) = P(3) = P(4) = P(5) = 1/5.
Step 3: Calculate the expected probability of each outcome:
The expected probability of each outcome can be found by dividing the number of equally likely outcomes by the total number of outcomes. In this case, the expected probability is the same as the probability of each outcome.
Therefore, the expected probability of each outcome is 1/5 or 0.2.
To summarize:
- The sample S = {1, 2, 3, 4, 5} has a total of 5 outcomes.
- Since each outcome is equally likely, the probability of each outcome is 1/5 or 0.2.
- Therefore, the expected probability of each outcome is 1/5 or 0.2.