What is the probability that a randomly chosen child has a height of less than 47.15 inches?

Question

In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.1 inches, and standard deviation of 6.9 inches.

Answer 1

x = height

P(x < 47.15) = P(z < (47.15 - 53.1)/6.9) = P(z < -0.86) = 0.1949