Question: Are the University of Miami and Baylor University both private institutions?
Context: The 1914 Baylor football team represented Baylor University during the 1914 college football season.  In January 1914, a questionnaire regarding a possible conference was sent out to the larger institutions in Texas, Mississippi, Louisiana, Arkansas, and Oklahoma.  Only Texas A&M failed to express an opinion; all other schools were positive.  "No school should be omitted that hasn't the money to keep itself going and be able to play members of the association", Baylor representative C.A. Ganti replied.  "This we could not do."  In late April and early May, eight institutions met to create the Southwest Conference, to which Baylor was invited and did become a charter member in December of that year.  Baylor did not adopt a mascot (the Baylor Bears) until December 14, 1914, after the completion of the 1914 football season. The 1974 Baylor Bears football team represented the Baylor University in the 1974 NCAA Division I football season.  Baylor won eight games and captured the Southwest Conference (SWC) championship for the first time since 1924, and in the process defeated the Texas by a score of 34–24 after rallying from a 24–7 halftime deficit.  It was Baylor's first victory over the Longhorns in 17 years.  The 1974 season and the win over Texas are commonly referred to as the "Miracle on the Brazos" (after the Brazos River, which runs near the Baylor campus) and it remains part of Baylor lore. Baylor University (BU) is a private Baptist university in Waco, Texas.  Chartered in 1845 by the last Congress of the Republic of Texas, it is the oldest continuously-operating university in Texas and one of the first educational institutions west of the Mississippi River in the United States.  Located on the banks of the Brazos River next to I-35, between the Dallas-Fort Worth Metroplex and Austin, the university's 1,000-acre campus is the largest Baptist university campus in the world. The Baylor Bears are the athletic teams that represent Baylor University.  Baylor's men's sports teams are named the Bears, and some women's teams are named the Lady Bears.  The teams participate in Division I of the National Collegiate Athletic Association (NCAA) as one of only two private school members of the Big 12 Conference.  Prior to joining the Big 12, Baylor was a member of the Southwest Conference from their charter creation in 1914 until its dissolution in 1996.  Baylor is also a founding member of the Big 12 Conference. The Baylor University sexual assault scandal was the result of numerous allegations and a conviction for sexual and non-sexual assaults committed by Baylor Bears football players at Baylor University between the years 2012 and 2016.  In 2016, Baylor's football team came under fire when it was revealed university officials had failed to take action regarding the alleged rapes and other assaults.  The scandal led to the ouster of head football coach Art Briles, the demotion and eventual resignation of Baylor University President Ken Starr, the resignation of Athletic Director Ian McCaw, and the firing of two others connected with the football program.  It also led to the resignation of the Title IX Coordinator, Patty Crawford. The Baylor University Chamber of Commerce (usually called "Chamber of Commerce," "Baylor Chamber," or simply "Chamber") is the oldest student organization at Baylor University, founded in 1919. The 1950 Baylor Bears football team represented Baylor University in the 1950 college football season.  The Bears placed second in the Southwest Conference with an overall record of 7–3.  Two players - Larry Isbell (Back) and Harold Riley (End) - were selected as All-Southwest Conference players.  The 1950 season was the inaugural season for Baylor University's new state of the art 50,000 seat Baylor Stadium. The University of Miami (informally referred to as UM, U of M, or The U) is a private, nonsectarian research university in Coral Gables, Florida, United States.  s of 2015 , the university enrolls 16,848 students in 12 separate colleges/schools, including the Leonard M. Miller School of Medicine in Miami's Health District, a law school on the main campus, and the Rosenstiel School of Marine and Atmospheric Science focused on the study of oceanography and atmospheric sciences on Virginia Key, with research facilities at the Richmond Facility in southern Miami-Dade County. The 2005–06 Baylor Bears men's basketball team represented the Baylor University in the 2005–06 NCAA Division I men's basketball season.  The team's head coach was Scott Drew, who served in his third year.  The team played its home games at the Ferrell Center in Waco, Texas.  As a result of the Baylor University basketball scandal they were only allowed to play Big 12 Conference games. The Golden Wave Band or GWB is a 300-member marching band associated with Baylor University.  Known at various times as the Baylor Bear Band, the Golden Wave, BUGWB (the Baylor University Golden Wave Band), and the Golden Wave Band, the GWB performs both on and off campus.  In addition to performing at regular season football games and bowls, the marching band participates in regional and state-level marching contests, such as the UIL State Marching Contest and regional marching festivals.  The music and drills performed by the band represent a corps style of marching and include both traditional and contemporary musical styles.  Members of the Golden Wave Band span all majors and fields.  Students from engineering, education, pre-law, pre-medicine, religion, University Scholars, as well as music share their musical talents with the Golden Wave.
Answer: yes