The weights, in kg, of male travelers at an airport follow a normal distribution with mean 82 and standard deviation 7. The weights of female travelers follow a normal distribution with mean 68 and standard deviation 6.
A male traveler and a female traveler are chosen at random.
Find the probability that the male traveler weighs more than the female traveler.
Five male travelers and five female travelers are chosen at random to board a small shuttle.
Find the probability that their total weight is greater than 775 kg.
79 exam-style questions on OCR (MEI) A Level Maths 2.4.8 Normal distribution as a model (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.