# A variable of a population is normally distributed with mean µ and standard deviation σ. a. Identify the distribution of x.b. Does your answer to part (a) depend on the sample size? Explain your answer.c. Identify the mean and the standard deviation of x.d. Does your answer to part (c) depend on the assumption that the variable under consideration is normally distributed? Why or why not?

Question

A variable of a population is normally distributed with mean µ and standard deviation σ.

a. Identify the distribution of x.
c. Identify the mean and the standard deviation of x.
d. Does your answer to part (c) depend on the assumption that the variable under consideration is normally distributed? Why or why not?