In a national basketball association, the top free-throw shooters usually have a probability of about 0.80 of making any given free throw. During a game, one such player shot 9 free throws. Let X be the number of free throws made. What must you assume in order for X to have a binomial distribution?

1. It is assumed that the data are binary, that there is the same probability of success for each trial (free throw), and that the trials are independent.
2. It is assumed that the data are binary, that probabilities of success for trials (free throws) differ for each trial, and that the trials are independent.
3. It is assumed that the data are not binary.
4. It is assumed that the data are binary, that there is the same probability of success for each trial (free throw), and that the trials are dependent.
5. Specify the values of n and p for the binomial distribution of X in part a.

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