A population of X follows a normal distribution with mean ,u and variance 1- Let Y be another normal population with mean 2;: and variance 1. A sample of size 36 is taken from both populations. 3) Name the distribution and parameters of: i) S = )7. (2 marks) 5 ii) 0 = 201- an)? f:1 (2 marks) iii) W = 277. (3 marks) iv) V = 18( W + u). (3 marks) b) Find u if P(W > 1)=0.983. (5 marks) C) Find P(X -