# 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.)

1 answer

###### 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.)

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.)

## Answers

Answer:0.066Step-by-step explanation:We solve this question using z score formulaz = (x-μ)/σ, where x is the raw score μ is the population meanσ is the population standard deviationFor the question mean birth weight for boys is 3.27 kg, with a standard deviation of 0.51 kg.x = 2.5Hence:z = 2.5 - 3.27/0.51z = -1.5098Probability value from Z-Table:P(x ≤ 2.5) =P(x < 2.5) = P(x = 2.5) = =0.065547Therefore, the proportion of baby boys that are born with a low birth weight is 0.066

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