A. Permutations and Combinations

To give some practice on Counting, please do the following problems. Please show how the numbers would fit into the formula.

1. A sports enthusiast has won five trophies. How many different ways can all of the trophies be arranged in a line on a table?

2. A small company, with four employees,needs to form an interview panel.How many ways can a committee of two people be selected from the four employees?

B. Binomial Distributions

The following problem isdesigned to give you practiceusing the binomial calculator contained in this week's synopsis:Synopsis: Probability Topics (Cont) and Discrete Random Variables(please scroll down to 5 Binomial Distribution).

Coca-Cola is one of the world's leading recognized brands of soft drinks. A market researcher did a study and found that Coca-Cola has a brand recognition rate of 95%.We randomly select 5 people.Please use the binomial calculator described in the synopsis of the binomial distribution to answer the following questions:

1. What are the values for n,p, and q?

2. What is the probability that exactly 3 of the 5 people recognize the Coca-Cola brand name?

3. What is the probability that the number of people, who recognize the Coca-Cola brand are 3 or fewer?