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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
7.73 Consider babies born in the “normal” range of 37– 43 weeks gestational age. Extensive data support the as- sumption that for such babies born in the United States, birth weight is normally distributed with mean 3432 g and standard deviation 482 g (“Are Babies Normal?” The American Statistician [1999]: 298–302).
a. What is the probability that the birth weight of a ran- domly selected baby of this type exceeds 4000 g? is be- tween 3000 and 4000 g?
b. What is the probability that the birth weight of a ran- domly selected baby of this type is either less than 2000 g or greater than 5000 g?
c. What is the probability that the birth weight of a ran- domly selected baby of this type exceeds 7 lb? (Hint:
1 lb = 453.59 g.)
d. How would you characterize the most extreme 0.1% of all birth weights?
e. If x is a random 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 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?
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