Birth weights of babies in the United States can be modeled by a normal distribu

Question

Birth weights of babies in the United States can be modeled by a normal distribution with mean 3250 grams and standard deviation 550 grams. ns Those weighing less than 2500 grams are considered to be of low birth weight Find the percentage f babies born with a low birth weight. (Round your answer up to 2 decimal places and don't include the % sign) How much would a baby have to weigh 2.5 to be among the heaviest 10% of all newborns? (Round your answer up to 2 decimal places and don't include any unit) 4350.0 grams Save 7 Saved

Explanation / Answer

As given distribution is normal distribution

Mean = 3250

Standard Deviation = 550

P( X < 2500)

Z = (X - ?) / ?
Z = (2500 - 3250) / 550

Z = -1.36364

From Z score table

P( X < 2500) = P(Z < -1.36) = 0.0863 = 8.63 %

P Value =0.10

Z score at P = 0.10

Z = 1.28155

From z score table

Z = (X - ?) / ?
1.28155? = (X - 3250) / 550

X = 3250+ 704.85

X = 3954.85

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