Question

The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with an average weight of 7.25 lbs and a standard deviation of 1 lb. What is the probability of a newborn baby boy weighing less than 6 lbs?

Answer 1

To find the probability of a newborn baby boy weighing less than 6 lbs, we calculate the z-score and use the standard normal distribution table. The probability is approximately 10.56%.

Step-by-step explanation:

To find the probability of a newborn baby boy weighing less than 6 lbs, we need to calculate the z-score and then use the standard normal distribution table.

The formula for calculating the z-score is:

z = (x - μ) / σ

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

In this case, x = 6 lbs, μ = 7.25 lbs, and σ = 1 lb.

Plugging these values into the formula, we get:

z = (6 - 7.25) / 1 = -1.25

Using the standard normal distribution table or calculator, we find that the probability of a z-score of -1.25 or less is approximately 0.1056, or 10.56%.