Mathematics: How much difference do a couple of weeks make for birth weight? late-preterm babies are born with 34 to 36 completed weeks of gestation. the distribution of birth weights (in grams) for late-preterm babies is approximately n(2750, 560). 1. what is the probability that a randomly chosen late-preterm baby would have a low birth weight (less than 2500 grams)? round your answer to 4 decimal places. 2. what is the probability that a randomly chosen late-preterm baby would have a very low birth weight

How much difference do a couple of weeks make for - id3910014, elijahjacksonrp6z2o7

gaby4567

10.01.2022

a) 0.3277

b) 0.0128

Step-by-step explanation:

We are given the following information in the question:

N(2750, 560).

Mean, μ = 2750

Standard Deviation, σ = 560

We are given that the distribution of distribution of birth weights is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P (less than 2500 grams)

P(x < 2500)

$P( x < 2500) = P( z < \displaystyle\frac{2500 - 2750}{560}) = P(z < -0.4464)$

Calculation the value from standard normal z table, we have,

$P(x < 2500) = P(z < -0.4464) = 0.3277 = 32.77\%$

b) P ((less than 1500 grams)

P(x < 1500)

$P( x < 1500) = P( z < \displaystyle\frac{1500 - 2750}{560}) = P(z < -2.2321)$

Calculation the value from standard normal z table, we have,

$P(x < 1500) = P(z < -2.2321) = 0.0128 = 1.28\%$

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