sample space
A probability assignment.
Not quite. The listing must also be exhaustive: it must contain all possible outcomes.For the roll of a fair cubic die, consider the following:Prob(1) = 1/6Prob(2) = 1/6This is a mutually exclusive listing of the outcomes of the experiment and the corresponding probabilities of occurrence but it is not a probability distribution because it does not include all possible outcomes. As a result, the total of the listed probabilities is less than 1.
It is the outcome space.
Theoretical probability
sample space
It is the probability distribution.
A probability assignment.
Not quite. The listing must also be exhaustive: it must contain all possible outcomes.For the roll of a fair cubic die, consider the following:Prob(1) = 1/6Prob(2) = 1/6This is a mutually exclusive listing of the outcomes of the experiment and the corresponding probabilities of occurrence but it is not a probability distribution because it does not include all possible outcomes. As a result, the total of the listed probabilities is less than 1.
It is the outcome space.
Theoretical probability
In a probability experiment, various outcomes are possible and the experiment is conducted to observe which outcomes occur. The experiment is performed repeatedly to collect data and determine the likelihood or probability of each outcome happening. The results of the experiment are analyzed to understand and make predictions about future occurrences of the event.
Probability determined as part of an experiment is called experimental probability. Probability determined by analysis of all of the possible and expected outcomes is called theoretical probability.
sample space
1 out of 2
If the question is about 4 successful outcomes out of 16 trials, when the probability of success in any single trial is 0.20 and independent of the outcomes of other trials, then the answer is, yes, the binomial experiment can be used.
It is a diagram of all possible outcomes of a probability experiment.
An experiment is carried out repeatedly. The total number of times the experiment is conducted and the number of times in which the results are outcomes of interest are recorded. These counts are then used to calculate the experimental probabilities of the outcomes.