# MATH 221 Week 4 Discussion; Discrete Probability Variables

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MATH 221 Week 4 Discussion; Discrete Probability Variables

What are examples of variables that follow a binomial probability distribution? What are examples of variables that follow a Poisson distribution? When might you use a geometric probability?

The binomial distribution applies to the number of times an event occurs out of n trials, when each trial is independent and the probability is the same on each trial. The classic example is coin flips, e.g. number of heads in n trials. In that case p 0.5, the probability of a head on one trial. Such examples are with cards or dice. The number of times X happens with cards (like you get a red jack, or a number less than 10, or a pair of 3s from a deal of 5 cards); if after each trial you put all the cards back and...

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