Question 6 - A-Level Maths

Find \(\mathrm { P } ( X + Y = 4 )\). A random sample of 75 values of \(X\) is taken.
State the approximate distribution of the sample mean, \(\bar { X }\), including the values of the parameters.
Hence find the probability that the sample mean is more than 1.7.
Explain whether the Central Limit theorem was needed to answer part (ii).