Given that X∼N(500,2500)X \sim N(500, 2500)X∼N(500,2500) find the following probabilities:
P(X>545)P(X > 545)P(X>545)
P(X<420)P(X < 420)P(X<420)
P(480<X<550)P(480 < X < 550)P(480<X<550)