If x has a normal distribution with mean µ=15 and standard deviation σ= 3, describe the distribution of x values for sample size n, where n = 4, n = 16, and n = 100. How do the x distributions compare for the various sample sizes?
Given that x is a normal variable with mean m µ=110 and standard deviation σ=12, find: ( a) P(x ≤ 120) ( b) P(x ≥ 80) ( c) P(108 ≤ x ≤ 117).