Question

In a certain​ country, the mean birth weight for boys is 3.28kg, with a standard deviation of 0.57kg. Assuming that the distribution of birth weight is approximately​ normal, complete parts a through e below.

a. A baby is considered of low birth weight if it weighs less than 2.5 kg. What proportion of baby boys in this country are born with low birth​ weight? The proportion of baby boys that are born with a low birth weight is ?

b. What is the​ z-score for a baby boy that weighs 2.5kg​(defined as extremely low birth​ weight)?

c. ​Typically, birth weight is between 2.5kg and 4.0g. Find the probability a baby is born with typical birth weight.

d. Matteo weighs 3.8 kg at birth. He falls at what​percentile?.

e. ​Max's parents are told that their newborn son falls at the 97th percentile. How much does Max​ weigh?

please show work

Answer 1

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