What is the probability that a randomly chosen child has a height of more than 68.9 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 > 68.9) = P(z > (68.9 - 53.1)/6.9 = P(z > 2.29) = 1 - P(z < 2.29) = 1 - 0.9890 = 0.0110