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
