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: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺