The random variable XXX is defined as
X=2Y+3Z−W X = 2Y + 3Z - W X=2Y+3Z−Wwhere YYY, ZZZ, and WWW are independent random variables with
Y∼N(5,42)Z∼N(8,22)W∼N(10,52) Y \sim \mathrm{N}(5, 4^2) \quad Z \sim \mathrm{N}(8, 2^2) \quad W \sim \mathrm{N}(10, 5^2) Y∼N(5,42)Z∼N(8,22)W∼N(10,52)Find P(X>40)P(X > 40)P(X>40).
Practise Edexcel A Level Maths Finding Probabilities for Normal Distributions with exam-style questions for A Level Maths. 80 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.
