In: Statistics and Probability
A university administrator expects that 25% of students in a core course will receive an A. He looks at the grades assigned to 60 students. a. What are the expected value and the standard error for the proportion of students that receive an A? b. Use an appropriate normal transformation to calculate the probability that the percentage of students that receive an A is 20% or less. c. Use an appropriate normal transformation to calculate the probability that the proportion of students who receive an A is between 0.20 and 0.35. d. Use an appropriate normal transformation to calculate the probability that the proportion of students who receive an A is not between 0.20 and 0.30