Using all 1991 birth records in the computerized national birth certificate registry compiled by the National Center for Health Statistics (NCHS), statisticians Traci Clemons and Marcello Pagano found that the birth weights of babies in the United States are not symmetric ("Are babies normal?" The American Statistician, Nov 1999, 53:4). However, they also found that when infants born outside of the "typical" 37-43 weeks and infants born to mothers with a history of diabetes are excluded, the birth weights of the remaining infants do follow a Normal model with mean μ = 3402 g and standard deviation σ = 492 g. Let X be the weight of a randomly selected infant born from 37 to 43 weeks whose mother did not have a history of diabetes. What is the distribution of X? X ~ N (,)
Using all 1991 birth records in the computerized national birth certificate registry compiled by the National Center for Health Statistics (NCHS), statisticians Traci Clemons and Marcello Pagano found that the birth weights of babies in the United States are not symmetric ("Are babies normal?" The American Statistician, Nov 1999, 53:4). However, they also found that when infants born outside of the "typical" 37-43 weeks and infants born to mothers with a history of diabetes are excluded, the birth weights of the remaining infants do follow a Normal model with mean μ = 3402 g and standard deviation σ = 492 g. Let X be the weight of a randomly selected infant born from 37 to 43 weeks whose mother did not have a history of diabetes.
- What is the distribution of X? X ~ N (,)
Please show the following answers to 4 decimal places.
- If a healthy infant is randomly chosen, find the probability that the birth weight is below 3156 g.
- If a healthy infant is randomly chosen, find the probability that the birth weight is between 3648 g and 4386 g.
Please show the following answers to whole grams.
- The mid-70% of the healthy infant weight is between _______ g and ____________ g.
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