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 (less than 1500 grams)? round your answer to 4 decimal places.

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:

a) P (less than 2500 grams)

P(x < 2500)

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

b) P ((less than 1500 grams)

P(x < 1500)

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

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

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−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2