Birth weights of babies born to fullterm pregnancies follow

Birth weights of babies born to full-term pregnancies follow roughly a Normal distribution. At one hospital, the mean weight of babies born to full-term pregnancies is 7 lbs with a standard deviation of 14 oz (1 lb = 16 oz). Dr. Anastos (who works at this hospital) has two deliveries (all for full-term pregnancies) coming up during the night. Assume that the birth weights of these two babies can be viewed as a simple random sample. What is the probability that two babies will weigh more than 7 lbs and 14 oz?

Solution

P(X>7) = 0.5 (mean of normal distribution->area)