Question 1: A professor at a local university noted that the grades of her students were normally distributed with a mean of 78 and a standard deviation of 10.

a. The professor has informed us that 16.6% of her students received grades of A. What is the minimum score needed to receive a grade of A?

b. If 12.1% of her students failed the course and received Fs, what was the maximum score among those who received an F?

c. If 33% of the students received grades of B or better (i.e., As and Bs), what is the minimum score of those who received a B?

Question 2: A new soft drink is being market tested. It is estimated that 60% of consumers will like the new drink. A sample of 96 taste-tested the new drink.

a. Determine the standard error of the proportion.

b. What is the probability that more than 70.4% of consumers will indicate they like the drink?

c. What is the probability that more than 30% of consumers will indicate they do not like the drink?