All others must bring data. The binomial distribution is frequently useful in situations where there are two outcomes of interest, such as success or failure. It is often used to model real-life situations, and it finds its way into many extremely useful and important statistical applications and computations.
Observations are independent .
A random sample of size 4 is chosen from this population. The TI-83 can be very useful in calculating binomial probabilities. It is important to understand when one has a binomial setting, and when one doesn't have such a setting. For instance, consider a regular shuffled deck of 52 cards. I put the card back in the deck, thoroughly shuffle the deck, and then randomly pick a card.