Discussion:
The following table lists the 25 largest U.S. universities according to enrollment figures from The World Almanac. The state of location is given in parentheses.
University Enrollment
Ohio State University (OH) 51,818
Arizona State University (AZ) 51,234
University of Florida (FL) 50,822
University of Minnesota (MM) 50.402
University of Texas at Austin (TX) 49.697
University of Central Florida (FL) 46,719
Michigan State University (MI) 45320
Texas A&M University (TX) 45.380
University of South Florida (FL) 43,636
Penn State University Park (PA) 42,914
University of Illinois (IL) 42,728
University of Wisconsin (WI) 41,466
New York University (NY) 40.870
University of Michigan (MI) 40.025
Florida State University (FL) 39.973
University of Washington (WA) 39,524
Purdue University (IN) 39.228
Indiana University (IN) 38,247
University of California. Los Angeles (CA) 38,213
Florida International University (FL) 37.997
University of Arizona (AZ) 36,805
California State University. Fullerton (CA) 35,921
California State University, Long Beach (CA) 35574
University of Maryland. College Park (MD) 35,300
a. If five different universities are selected randomly from the list, what is the probability that three of them have enrollments of 40,000 or more?
b. If eight different universities are selected randomly from the list, what is the probability that two or fewer are universities in Florida?
c. Suppose universities are being selected randomly from this list with replacement. If five universities are sampled, what is the probability that the sample will contain exactly two universities in California?