Question

In a certain​ country, the mean birth weight for boys is 3.27 ​kg, with a standard deviation of 0.51 kg. 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 nothing.
​(Round to three decimal places as​ needed.)

Answer 1

Answer:

0.066

Step-by-step explanation:

We solve this question using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation

For the question

mean birth weight for boys is 3.27 ​kg, with a standard deviation of 0.51 kg.

x = 2.5

Hence:

z = 2.5 - 3.27/0.51

z = -1.5098

Probability value from Z-Table:

P(x ≤ 2.5) =P(x < 2.5) = P(x = 2.5) =

=0.065547

Therefore, the proportion of baby boys that are born with a low birth weight is 0.066