Birth weights of babies born to full-term pregnancies followed roughly a normal distribution. at meadowbrook hospital, the mean weight of babies born to full-term pregnancies is 7 pounds with a standard deviation of 14 ounces (1 pound = 16 ounces). what is the probability that the average weight of the four babies will be more than 7.5 pounds

Respuesta :

Given:
μ = 7 lb
σ = 14 oz = 14/16 lb = 0.875 lb

For the random variable x = 7.5 lb, the z-score is
z = (x - μ)/σ
   = (7.5 - 7)/0.875
   = 0.5714

From standard normal tables, obtain
P(x >= 7.5) = 1 - 0.716 = 0.284

Answer: 0.284