Given that X∼N(10,2.25)X \sim N(10, 2.25)X∼N(10,2.25) find the following probabilities:
P(X>11.8)P(X > 11.8)P(X>11.8)
P(X<7.45)P(X < 7.45)P(X<7.45)
P(9.1<X<11.2)P(9.1 < X < 11.2)P(9.1<X<11.2)