Question

in the united states, birth weights of newborn babies are approximately normally distributed with a mean of \\(\mu = 3,500\text{ g}\\) and a standard deviation of \\(\sigma = 500\text{ g}\\).

according to the empirical rule, 68% of all newborn babies in the united states weigh between 3000 g and 4000 g.

95% of all newborn babies in the united states weigh between 2500 g and 4500 g.

99.7% of all newborn babies in the united states weigh between and .

Explanation:

Identify the given parameters

Using the Empirical Rule knowledge point

$$
LATEXBLOCK0
$$

Apply the Empirical Rule for 99.7%

Using the Empirical Rule knowledge point

$$
LATEXBLOCK1
$$

Answer:

99.7% of all newborn babies in the United States weigh between <blank>2000 g</blank> and <blank>5000 g</blank>.