Please refer to the question attached below, they are simple probability and statistic problems; Thank you for your help!

Let x follow uniform distribution on [0,1]. PlXZ 7 ix + g 2 0} :2. Show steps and results. Take 5 samples X1, X2, X3, X4, X5 from a population that follows N(12,4). Find the probability that the sample mean is greater than13. (Hints: (0(2) : P(Z s z) and 0t?) : 0.8686)