Question

The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with an average weight of 5 lbs and a standard deviation of 2 lb. If a newborn baby boy, born at the local hospital, is randomly selected, find the probability that the weight of the newborn baby boy will be between 5 lbs and 11 lbs.

Answer 1

Answer: 0.4987

Step-by-step explanation:

Given : The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with

Mean : $\mu=5\text { lbs}$

Standard deviation : $\sigma= 2\text{ lbs}$

Let X be the random variable that represents the weight of randomly selected student .

Z score : $z=\dfrac{x-\mu}{\sigma}$

For x = 5 lbs

$z=\dfrac{5-5}{2}=0$

For x = 11 lbs

$z=\dfrac{11-5}{2}=3$

By using the standard normal distribution table ,  the probability that the weight of the newborn baby boy will be between 5 lbs and 11 lbs :-

$P(5$

Hence, the probability that the weight of the newborn baby boy will be between 5 lbs and 11 lbs =0.4987