according to the centers for disease control, 3 year old boys have a mean height of 38 inches and a standard deviation of 2 inches. the distribution their heights is approximately normal. what is the probability that a three yeaar old boy is taller than 39 inches

the probability is 69.15%

Step-by-step explanation:

We have that the mean is 38 inches (m) and the standard deviation is 2 inches (sd), so we are asked:

P (x <39)

P ((x - m) / sd < (39 - 38) / 2)

P (z <0.5)

If we look in the normal distribution table we have to:

P (x <39) = 0.6915

That is, the probability is 69.15%