The length of a human pregnancy follows a Normal distribution with a mean of 266 days and a standard deviation of 16 days a. Find the probability that a randomly selected woman will have a pregnancy of less than 258 days.
b. Find the mean and new standard deviation of the sampling distribution of the mean length of pregnancy for an SRS of 80 women.
(Note: I already know part a, I just can't get the right standard deviation for part b)

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph

the equation is not included but the answer is (1.50, 2.00, 2.75)

step-by-step explanation: