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dondre54
18.10.2020 •
Mathematics
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.)
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Ответ:
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
Ответ:
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Step-by-step explanation: :)