1. 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: a. What are the values for n, p, and q? b. What is the probability that exactly 3 of the 5 people recognize the Coca-Cola brand name? c. What is the probability that the number of people, who recognize the Coca-Cola brand are 3 or fewer? 2. The following problems are designed to give you practice calculating z scores and using them to solve problems According to U.S. News & World Report data, in 1995 tuition costs at Indiana University, a public university, were $2,984 per year, while the tuition costs at the University of Evansville, a private university in Indiana, were $11,800 per year. In that same year the average cost of tuition at all public U.S. colleges was $2,208, with a standard deviation of $1,041, and the average cost of tuition at all private U.S. colleges was $10,979.68, with a standard deviation of $4,057. a. What is the z score for Indiana University? b. What is the z score for the University of Evansville? c. Which school was more expensive to attend in 1995, relative to the cost of education in its own category? d. What is the probability of a private university costing less than $11,800? (Hint: Use the mean and standard deviation values for all private schools to answer this question.) e. What is the probability of a public university costing less than $2,984? (Hint: Use the mean and standard deviation values for all public schools to answer this question.)