Calculating Binomial Probabilities
Binomial Experiments
Each random trial can result in one of only two possible outcomes. This is called a Bernoulli trial.
We collect data from Bernoulli trials satisfying the following:
there are n trials;
the n trials are independent; and
the probability of “success” remains constant from trial to trial.
Binomial Distribution - If X is the number of successes in n independent Bernoulli trials, then P(X=k)=n!/[k!*(n-k)!]*pk*(1-p)n-k, for k=0, 1, ..., n.
The mean (or expected value) of a Binomial random variable is n*p.
Binomial Distributions - Calc > Probability Distributions Binomial
- Probability - P(X=x)
- Cumulative Probability - P(X<=x)
- Inverse Cumulative Probability - Find percentiles
Reading Assignment - Please complete your reading of Chapter 6 for class on Monday.