Consider babies born in the "normal" range of 37–43 weeks gestational age. A paper suggests that a normal distribution with mean  ? = 3500 grams  and standard deviation  ? = 522 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 g? (Round your answer to four decimal places.)   (b) What is the probability that the birth weight of a randomly selected full-term baby is between 3000 and 4000 g? (Round your answer to four decimal places.)   (c) 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? (Round your answer to four decimal places.)   (d) What is the probability that the birth weight of a randomly selected full-term baby exceeds 7 pounds? (Hint: 1 lb = 453.59 g. Round your answer to four decimal places.)   (e) How would you characterize the most extreme 0.1% of all full-term baby birth weights? (Round your answers to the nearest whole number.)   The most extreme 0.1% of birth weights consist of those greater than        grams and those less than          grams.   (f) 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 full-term baby birth weight expressed in pounds (shape, mean, and standard deviation), and then recalculate the probability from part (d). (Round your answer to four decimal places.)

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Consider babies born in the "normal" range of 37–43 weeks gestational age. A paper suggests that a normal distribution with mean 
? = 3500 grams
 and standard deviation 
? = 522 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 g? (Round your answer to four decimal places.)
 
(b)
What is the probability that the birth weight of a randomly selected full-term baby is between 3000 and 4000 g? (Round your answer to four decimal places.)
 
(c)
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? (Round your answer to four decimal places.)
 
(d)
What is the probability that the birth weight of a randomly selected full-term baby exceeds 7 pounds? (Hint: 1 lb = 453.59 g. Round your answer to four decimal places.)
 
(e)
How would you characterize the most extreme 0.1% of all full-term baby birth weights? (Round your answers to the nearest whole number.)
 
The most extreme 0.1% of birth weights consist of those greater than        grams and those less than          grams.
 
(f)
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 full-term baby birth weight expressed in pounds (shape, mean, and standard deviation), and then recalculate the probability from part (d). (Round your answer to four decimal places.)
 
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