[EDA] Chapter 3 Flashcards
a random variable that has countable values, such as a list of non-negative integers
Discrete Random Variable
a variable whose value is subject to variations due to chance
Random variable
It conceptually does not have a single, fixed value; rather, it can take on a set of possible different values, each with an associated probability.
Random Variable
also called as discrete probability distribution
Probability Mass Function
weighted average of all possible values that this random variable can take on.
Expected Value of a random variable
Properties of a Binomial Experiment
consists of n repeated trials,
2 outcomes: success/fail
P of success is the same in each trial
The trials are independent
the number of successes x in repeated trials of a binomial experiment
Binomial Random Variable
probability that a binomial experiment results in exactly x successes
Binomial Probability
Properties of a Poisson Experiment
• 2 outcomes: success/fail
• Ave. of successes ( μ) that occur in a region is known.
• P that a success will occur is proportional to the size of region.
• P that a success will occur in an extremely small region is virtually zero.
number of successes that result from a Poisson experiment.
Poisson random variable
probability that the Poisson random variable is greater than some specified lower limit and less than some specified upper limit.
Cumulative Poisson Probability