1349. According to the university, only 45% of applicants receive positive marks at the entrance exams. Suppose that the admission committee received 2120 applications. What is the probability that:
a) at least 970 entrants will receive positive marks in the entrance examinations?
b) 950 entrants will receive positive marks in the entrance examinations?

Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)