Now that we've taken the midterm and worked conics to pieces, it's time for data analysis. We're starting with the binomial distribution.
The characteristics of a binomial setting are that there are only two possible outcomes for each trial, the trials are independent, the probability of success on each trial is fixed, and the number of trials is fixed.
We use combination calculations (n C r) or C(n, r) or the common mathematical form used in class that looks like a fraction in parentheses without a fraction bar to represent the binomial coefficient. We call these expressions "n choose r" and compute it as n!/((n-r)!r!).
The probability of getting r successes out of n tries in a binomial setting is
n C r * (p)^r * (1-p)^(n-r).
The probability of a failure, (1-p) is often expressed as q.
Now, use the calculator to calculate all the pieces of these expressions AND
FOR HOMEWORK due FRIDAY (4/22), use the function binomcdf(6,.25) STO->> L3 and figure out what this function does. It will be VERY useful when working with binomials.