# Question: Consider babies born in the normal range of 37 43 weeks

Consider babies born in the “normal” range of 37–43 weeks gestational age. The paper referenced in Example 7.13 (“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 5 600 grams is a reasonable model for the probability distribution 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 grams? Is between 3000 and 4000 grams?

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

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

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

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

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

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

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

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

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

**View Solution:**## Answer to relevant Questions

Emissions of nitrogen oxides, which are major constituents of smog, can be modeled using a normal distribution. Let x denote the amount of this pollutant emitted by a randomly selected vehicle. The distribution of x can be ...Consider the variable x = earthquake insurance status for the population of homeowners in an earthquake- prone California county. This variable associates a category (insured or not insured) with each individual in the ...The paper “Risk Behavior, Decision Making, and Music Genre in Adolescent Males” (Marshall University, May 2009) examined the effect of type of music playing and performance on a risky, decision-making task. a. ...Ecologists have long been interested in factors that might explain how far north or south particular animal species are found. As part of one such study, the paper “Temperature and the Northern Distributions of Wintering ...A pizza shop sells pizzas in four different sizes. The 1000 most recent orders for a single pizza gave the following proportions for the various sizes: With x denoting the size of a pizza in a single-pizza order, the given ...Post your question