unit 4 stats

random process

in each of these cases, we are aware of the possible outcomes but have no idea what the outcomes will be

patterns of random

occurrences may include strings or runs of outcomes that appear to be nonrandom

outcome

result of a trial of a random process

event

collection of outcomes

simulation

a way to model random events, such that the simulated outcomes match the real-world outcomes

simulated probabilities

get closer to the true probability as the number of trials increases

sample space

collections of all possible non-overlapping outcomes

certainlity of 0 for an event means impossible or certanity

impossible

A probability of 1 for an event means impossible or certanity

certainity

complements

the complement of an event A is the event that does not happen

What is the complement equal to?

I-P(X)

Mutually Exclusive

events that cannot occur at the same time. There would be no intersection

joint probability

probability if there intersection of two events

Conditional Probability

probability that an event happens given that another event is known to have already happen