The equation is:
f(x) = 2x² - 44x + 185
f(x) = 2(x² - 22x + 121 - 121) + 185 =
= 2(x² - 22x + 121) - 242 + 185 =
= 2(x - 11)² - 57
Conclusion:
The vertex is located at (11, -57) and the vertex form is: f(x) = 2(x - 11)² - 57
P(X \ Y) = P(X ∩ Y)/P(Y)
P(X ∩ Y) = 80/1000 = 0.08
P(Y) = 580/1000 = 0.58
P(X \ Y) = 0.08/0.58 = 8/58 = 4/29