SOLUTION: Please Help Someone! Find the indicated probability or percentage for the normally distributed variable. The lengths of human pregnancies are normally distributed with a mean of

Algebra ->  Probability-and-statistics -> SOLUTION: Please Help Someone! Find the indicated probability or percentage for the normally distributed variable. The lengths of human pregnancies are normally distributed with a mean of       Log On


   



Question 964684: Please Help Someone!
Find the indicated probability or percentage for the normally distributed variable.
The lengths of human pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. What is the probability that a pregnancy lasts at least 300 days?

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
We want the Probability (X < 300)
First calculate the z-score
z-score = X - mean / std dev = (300 - 268) / 15 = 2.133333333 approx 2.13
now consult the table of z-scores for the probability associated with a z-score of 2.13
Probability (X < 300) = 0.9834 approx 0.98