1. T05-01 - 1 T05-01 Binomial Distribution Purpose Allows the analyst to analyze a Binomial Distribution with up to 50 trials. Probability Scenario's, Expected Value, Variance and Standard Deviation of the Binomial Distribution are calculated. Inputs Number of Independent Trials Probability of Success on each trial Probability Scenario Outputs Binomial Probability Distribution Cumulative Probability Distribution Probability Scenario Solution Expected Value, Variance & Standard Deviation Graph of Binomial Distribution Limitations 50 independent trials or less

2. T05-01 - 2 An Example A student is taking a 10 question multiple choice (4 choices per question). The student did not study for the exam and after reviewing each question realizes he does not know a single answer. Undaunted the student decides to adopt the “guess” strategy. What is the probability that the student will pass (make at least 60%) the exam? Probability of success =.25 Number of independent trials = 10 Probability of passing = P(X>=6)

3. T05-01 - 3 p ( x ) = Probability of x ‘successes’ n = Sample size p =Probability of ‘success’ x =Number of ‘successes’ in sample ( x = 0, 1, 2,..., n ) MeanStandard Deviation Binomial Probability Distribution

4. T05-01 - 4 Trials, and Independent Probability of Success are entered and validated.

5. T05-01 - 5 The Binomial Distribution P(X) and CP(X) are automatically calculated for X successes. Also, the Expected Value, Variance and Standard Deviation are automatically calculated.

6. T05-01 - 6 If a valid value for X is entered (automatically validated), the probability scenario can be quickly answered by inputting the information in the light green cells. The answer to the scenario is automatically calculated.

7. T05-01 - 7 The Discrete Binomial Probability Distribution is shown as a bar graph.