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)
149 exam-style questions on OCR (MEI) A Level Maths 2.4.12 Calculate probabilities from a Normal distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.