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.)

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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