This is all about Probability outcomes and binomials in math. Such as, a market analyst creates a taste test to be conducted in a local shopping mall. The experiment asks 500participants to select which of 2 soft drinks they prefer. The drinks are the same color and in similar cups. Participants record their preferred drink on a ballot and place itin a box. They are not told which drink they select. Based on national sales data, the analyst expects 65%of participants to select Soft Drink B. Of the 500participants, 72%select Soft Drink B.

We are asked what are we to conclude from this study and there is more than one correct way to answer.

The experiment is binomial because there are 2 choices, 500 trials, and each participant is an independent trial.

The national sales data are accurate in predicting sales of Soft Drink B.

The analyst expects 275 participants to select Soft Drink A.

The experiment is not binomial because later participants know which drink earlier ones preferred.

The analyst expects 325 participants to select Soft Drink B.

There are 140 participants that select Soft Drink A.

Thank you CM/8.