. A normally distributed population has a mean of 1,214 and a standard deviation of 122. (a) Find the probability that a single randomly selected element X of the population is between 1,100 and...

. A normally distributed population has a mean of 1,214 and a standard deviation of 122.
(a) Find the probability that a single randomly selected element X of the population
is between 1,100 and 1,300.
(b) Find the mean and standard deviation of ? for samples of size 16.
(c) Find the probability that the mean of a sample of size 16 drawn from this
population is between 1,100 and 1,300