Stats 2 - Probability, DRVs and Binomial Model Flashcards
What is a sample space diagram?
A table that shows all the possible outcomes of events
What is theoretical probability?
What is experimental probability?
What is the expected frequency?
What is the difference between a “subset” and a “proper subset”?
Draw the Venn diagram for :
A U B
A ∩ B
A’
A ∩ B’
What does it mean for two events to be mutually exclusive?
They cannot happen at the same time
How would you represent the probability of being mutually exclusive and not mutually exclusive? (With equation)
What does it mean for two events to be independent? (With equation)
They have no affect on each other
What does this notation mean?
Explain the Discrete Random Variable as:
* sample space
* probability distribution table
* probability function
What is discrete uniform distribution?
A probability distribution with all equal likely outcomes, that is, P(X = x) = p, for every x in X. For instance, if we roll an ordinare and fair six-sided dice (1, 2, 3, 4, 5, and 6) and denote by X the upper-most value shown by the dice, then P(X = x) = 1/6, for all x’s.
What are the conditions for a probability distribution to be binomial?
- Two possible outcomes: Success & failure
- Fixed number (n) of trials
- Fixed probability (p) of success
- Trials are independent
What is the symbol for a binomial distribution, and what is the formula for P(X = x)?
