A university claims that 65% of its basketball players get degrees. An investigation examines the fate of all 25 players who entered the program over a period of several years. The number of athletes who graduate is B(25, 0.65). Use the binomial probability formula to find the probability that all 25 graduate.
+6251 A university claims that 65% of its basketball players get degrees. An investigation examines the fate of all 25 players who entered the program over a period of several years. The number of athletes who graduate is B(25, 0.65). Use the binomial probability formula to find the probability that all 25 graduate.
\(B_{25,0.65}(25)=\begin{pmatrix}25 \\25\end{pmatrix}(0.65)^{25}(0.35)^0 = (0.65)^{25}\approx 2.1\times10^{-5}\)
