  ### MIDDLE GROUND - Brief Summary of A Binomial Distribution

I.   Brief Summary of A Binomial Distribution
0.   Basic Probability and Counting Formulas
Vocabulary, Facts, Count the Ways to Make An Ordered List Or A Group
The average is the sum of the products of the event and the probability of the event.
II.   Binomial Distribution Explained More Slowly
III. Binomial Formula Explained
Combinations Compute The Number of Each Outcome in A Binomial Distribution
What's the Probability of Obtaining Exactly 3 Heads If A Fair Coin Is Tossed 4 Times?
Applications
IV. Sum of the Probabilities and the Binomial Mean
The Sum of The Probabilities Is One.
The Expected Value Is The Mean.
The Mean, Expected Value, Is (n)(p).
Why the mean, expected value, is (n)(p)
V.   Examples
VI. Use the Normal to Compute the Binomial on a Calculator

 A Binomial Distribution, Brief Summary Flip a coin 4 times (or flip 4 coins) and count the number of heads. The coin doesn't even need to be a fair coin (in which a tail is as likely as a head). The experiment is described by a binomial distribution.         An only two-possible-outcome experiment, repeated a certain number of independent times is called binomial. The distribution or function has as a variable x, the number of successes. The other required parameters are n, the number of independent trials, and p, the probability of success. The probability of failure on each trial is q, or 1 - p. The mean and standard deviation of a BINOMIAL DISTRIBUTION are stated below.          © 2010, Agnes Azzolino www.mathnstuff.com/math/spoken/here/2class/90/binom1.htm