Question

The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 3571 grams and a standard deviation of 589 grams. If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 4866 grams. Round your answer to four decimal places.

Answer 1

Answer: the probability that the weight will be less than 4866 grams is 0.9861

Step-by-step explanation:

Since the weights of newborn baby boys born at a local hospital are believed to have a normal distribution, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = weights of newborn baby boys.

µ = mean weight

σ = standard deviation

From the information given,

µ = 3571 grams

σ = 589 grams

The probability that the weight will be less than 4866 grams is expressed as

P(x < 4866)

For x = 4866,

z = (4866 - 3571)/589 = 2.2

Looking at the normal distribution table, the probability corresponding to the z score is 0.9861