2. A university administrator expects that 30% of students in a core course will receive an A. He looks at the grades assigned to 100 students. The probability that the proportion of students that receive an A is 0.25 or less is .

The probability that the proportion of students that receive an A is 0.25 or less is = 0.1379

Step-by-step explanation:

Given -

A university administrator expects that 30% of students in a core course will receive an A.

Sampling distribution of sample proportion = p  = 30% = 0.30

Sample size ( n ) = 100

Standard deviation of sample proportion  = = = .0458

The probability that the proportion of students that receive an A is 0.25 or less is =  

           =        Putting

           =       Using Z table

          = 0.1379