Question

How much difference do a couple of weeks make for birth weight? Late‑preterm babies are born with 3434 to 3636 completed weeks of gestation. The distribution of birth weights (in grams) for late‑preterm babies is approximately ????(2750,560).N(2750,560). What is the probability that a randomly chosen late-preterm baby would have a very low birth weight, less than 15001500 grams? (Use technology and enter your answer rounded to four decimal places.)

Answer 1

0.0128

Explanation:

(Use technology and enter your answer rounded to four decimal places.)

We apply the z score formula to this question

z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

We are given: N(2750,560)

x = 1500 grams, μ = 2750 grams, σ = 560 grams

= z = 1500 - 2750/560

z = -2.23214

Determining the Probabilty value from Z-Table:

P(x < 1500) = P(z = -2.23214)

= 0.012803

Approximately to four decimal places = 0.0128

The probability that a randomly chosen late-preterm baby would have a very low birth weight, less than 1500 grams is 0.0128.