1. Probability Flashcards
What is meant by a discrete probability distribution?
Where you have a discrete random variable (x), with values x_i and probabilities p_i
See page 1 of document for some equations for discrete probabilities
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What is meant by a continuous probability distribution?
When you have a continuous random variable (x) with a probability of p(x) dx of having a value between x and dx
See page 1 of document for some equations for continuous probabilities
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When can a binomial distribution be used?
Where there is an independant probability of K successes and n-K failures, and there are two outcomes
What is the fractional width?
A ratio of the number of likely outcomes compared to the number of possible outcomes
What happens to the fractional width as the number of trials increases?
It tends to 0
See page 1 of document for a bit on the binomial distribution
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Describe the type of probability, and what P( A | B ) means
Conditional probability - Probability of A occuring given B has occurred
Describe the type of probability, and what P( A n B ) means
Joint probability - Probability both A and B occur
What does P( A n B ) equal if A and B are indepenent?
P(A) x P(B)
What does P( A n B ) equal if A and B are NOT indepenent?
P( A n B ) = P( A | B )P( B ) = P( B | A )P( A )
See page 1 of document for Bayes’ theorem
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