The registrar of a college with a population of N=3,600 students is asked by the president to conduct a survey to measure satisfaction with the quality of life on campus. The accompanying table contains a breakdown of the 3,600 registeredstudents, by gender and class designation. The registrar intends to take a probability sample of n=100 students and project the results from the sample to the entire population offull-time students.

Class Designation

Gender. Fr. So. Jr. Sr. Total

Female 483 453. 487 483. 1,906

Male. 444. 417. 419. 414. 1,694

Total. 927. 870. 906. 897. 3,600

Given a normal distribution with =50 and =4, and given you select a sample of n=100, complete parts

a. What is the probability that X is less than 49?

P(X<49)=