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.
Practise Edexcel A Level Maths The Normal Distribution with exam-style questions for A Level Maths. 439 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
