Consider babies born in the "normal" range of 37-43 weeks gestational age. The paper referenced in Example 7.27 ("Fetal Growth Parameters and Birth Weight: Their Relationship to Neonatal Body Compo- sition," Ultrasound in Obstetrics and Gynecology [2009]: 441-446) suggests that a normal distribution with mean m = 3500 grams and standard deviation s = 600 grams is a reasonable model for the probability dis- tribution of the continuous numerical variable x = birth weight of a randomly selected full-term baby.

a. What is the probability that the birth weight of a randomly selected full-term baby exceeds 4000 g? is between 3000 and 4000 g?

b. What is the probability that the birth weight of a randomly selected full-term baby is either less than 2000 g or greater than 5000 g?

c. What is the probability that the birth weight of a randomly selected full-term baby exceeds 7 pounds? (Hint: 1 lb = 453.59 g.)

d. How would you characterize the most extreme 0.1% of all full-term baby birth weights?

e. If x is a random variable with a normal distribution and a is a numerical constant (a # 0), then y = axalso has a normal distribution. Use this formula to determine the distribution of full-term baby birth weight expressed in pounds (shape, mean, and stan- dard deviation), and then recalculate the probability from Part (c). How does this compare to your previous answer?