What is the probability that exactly 4 of the 12 records

Question

Part A

The average age of students in a career college is 28 years with a standard deviation of 12 years. It is known that the age of the students follows a normal distribution.

1. What is the probability that a randomly selected student is older than 32 years?
2. Fill in the blank: 25% of the students are older than ______ years?

Part B

12 accounting records were randomly selected from a large accounts receivable portfolio. 30% of the records in the portfolio are managed by Susan.

1. What is the probability that exactly 4 of the 12 records selected are managed by Susan?
2. What is the probability that at most 4 of the 12 records selected are managed by Susan?