Question

The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 3463 grams and a variance of 372,100. If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 4316 grams. Round your answer to four decimal places.

Answer 1

We can use the z-score formula to find the probability that a newborn baby boy born at the local hospital weighs less than 4316 grams.

z = (x - μ) / σ

where x is the weight we want to find the probability for, μ is the mean weight of the population, and σ is the standard deviation of the population.

Plugging in the values, we get:

z = (4316 - 3463) / √372100
z = 6.08

Using a standard normal distribution table or calculator, we can find that the probability of a z-score being less than 6.08 is approximately 1.0000.

Therefore, the probability that a newborn baby boy born at the local hospital weighs less than 4316 grams is approximately 1.0000.