Perfect pitch is the ability to identify musical notes correctly without hearing another note as a reference. The probability that a randomly chosen person has perfect pitch is XXXXXXXXXXa) If 20...

Perfect pitch is the ability to identify musical notes correctly without hearing another note as a reference. The probability that a randomly chosen person has perfect pitch is .0005. (a) If 20 students at Julliard School of Music are tested, and 2 are found to have perfect pitch, would you conclude that Julliard students are more likely than the general population to have perfect pitch? Hint: Use MegaStat or Excel to find the right-tailed binomial probability P(X ≥ 2 | n = 20, π = .0005). Alternatively, use MINITAB. (b) Show that normality should not be assumed.