Examples of outcome in the following topics:
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- The binomial distribution allows one to compute the probability of obtaining a given number of binary outcomes.
- The flip of a coin is a binary outcome because it has only two possible outcomes: heads and tails.
- The multinomial distribution can be used to compute the probabilities in situations in which there are more than two possible outcomes.
- " The following formula gives the probability of obtaining a specific set of outcomes when there are three possible outcomes for each event:
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- On the other hand, the outcomes 1 and "rolling an odd number" are not disjoint since both occur if the outcome of the roll is a 1.
- If there are many disjoint outcomes $A_1$ , ..., $A_k$ , then the probability that one of these outcomes will occur is:
- Statisticians rarely work with individual outcomes and instead consider sets or collections of outcomes.
- This means they are disjoint outcomes.
- 2.11: (a) Outcomes 2 and 3.
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- We often frame probability in terms of a random process giving rise to an outcome.
- The probability of an outcome is the proportion of times the outcome would occur if we observed the random process an in finite number of times.
- As more observations are collected, the proportion $\bar{\rho}_n$ of occurrences with a particular outcome converges to the probability p of that outcome.
- (b) Describe all the possible outcomes of that process.
- The outcome of this process will be a positive number.
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