PSYC 3130 - Binomial Probability Distribution

How is the outcome of an experiment expressed

• It is expressed as Bernoulli’s variable

• There are two outcomes

  • 1 = Outcome of interest

  • 0 = No outcome of interest

What are the 5 rules of Binomial Probability Distribution

• A single trial may result in exactly two events

  • Success

  • Failure

• ‘n’ such trials take place (n is fixed in advance)

  • For example, we will flip a coin twenty times

• The trials are completely independent

• The probability of a success does not change over trials (stationarity)

• We are interested in the total number of successes occurring over the n trials

What does “stationarity’ refer to as it relates to binomial probability distribution ?

• The probability of a success not changing over trials

What is necessary before constructing our probability distribution ?

• We must have an initial assumption, a null hypothesis

  • This helps with defining what a success and a failure is

What is the formula to determine the probability of an outcome set ?

p^rq^(n-r)

^{p= probability of a success}

^{q= probability of a failure}

^{r= number of successful trials}

^{n= total amount of trials}