SOLUTION: The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. If 64 women are randomly selected, find the probability that they h

Algebra ->  Probability-and-statistics -> SOLUTION: The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. If 64 women are randomly selected, find the probability that they h      Log On


   



Question 1073762: The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. If 64 women are randomly selected, find the probability that they have a mean pregnancy between 266 days and 268 days.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. If 64 women are randomly selected, find the probability that they have a mean pregnancy between 266 days and 268 days.
-----
z(266) = (266-268)/[15/sqrt(64)] = -2/(15/8) = -1.0667
z(268) = 0
-------------
P(266<= x <= 268) = P(-1<= z <=0) = normalcdf(-1.0667,0) = 0.3569
------------
Cheers,
Stan H.
-------------