Stats M. 3 Flashcards
probability is a number between…
0 and 1
probability can be expressed as…
fraction, decimal, or percentage
subjective probability
based on personal opinion
ex. there is a 30% chance that I will attend the next Miami hockey game
theoretical probability
based on formulas
ex. the probability of getting head when flipping a fair coin is 50% since there are two possible outcomes and both are equally likely
experimental probability
based on the results of a random experiment
ex. flip a coin 10 times and use the proportion of times you obtain heads to estimate the probability of getting heads
Law of large numbers
if we repeat an experiment a large # of times the results that we see experimentally should be closer and closer to what we would expect to see theoretically
sample space
collection of all possible outcomes
-tree diagrams
-venn diagrams
event
a subset of the sample space, a collection outcomes
-a single outcome (getting head on a coin flip)
-several outcomes (rolling an even number on a die)
-the entire sample space
-no outcome at all
complement
the subset of all outcomes within the sample space that are NOT in the event A of interest
intersection
(A and B) The event containing all of the elements that are common to both A and B
union
(A or B) The event containing all of the elements that belong to either A only, B only, or both A and B
mutually exclusive
events that have no outcomes in common
-cannot happen at the same time
Complements P(A^c)=
1-P(A)
Unions P(A or B)=
P(A)+P(B)-P(A and B)
Correct postive
test result indicates that the condition is present, and it is
false positive
test result indicates that the condition is present, but it is not
fasle negative
test result indicates that the condition is not present, but it is
correct negative
test result indicates that the condition is not present, and its not
sensitivity
the probability that the test will give a positive result, given that the condition tested for is present
P(Positive result|condition is present)
specificity
the probability that the test will give a negative result, given that the condition tested for is not present
P(Negative result|condition is not present)