Answer:
The birth weight associated with the lowest 1% is 4.6 pounds.
Step-by-step explanation:
Let X represent the birth weights of babies.
It is provided that [tex]X\sim N(7.6,1.3^{2})[/tex]
It is also provided that many pre-mature births weights are in the lowest 1% of births.
Let x represent the births weights that are in the lowest 1% of births.
That is, P (X < x) = 0.01.
⇒ P (Z < z) = 0.01
The corresponding z-score is, z = -2.33.
Compute the value of x as follows:
[tex]z=\frac{s-\mu}{\sigma}\\\\-2.33=\frac{x-7.6}{1.3}\\\\x=7.6-(1.3\times 2.33)\\\\x=4.571\\\\x\approx 4.6[/tex]
Thus, the birth weight associated with the lowest 1% is 4.6 pounds.
