3. (3pts) Cherry trees in a certain large orchard have heights that are normally distributed with mean $\mu=112$ inches and standard deviation $\sigma=14$ inches. Fill in the 3 missing values, giving 3 decimal places. MAT 133: Cumulative Review WS \#7 (Ch 1-10) p.2

Step 1 ：Calculate the cumulative probability for a cherry tree height of 120 inches using the normal distribution with mean \( \mu = 112 \) inches and standard deviation \( \sigma = 14 \) inches.

Step 2 ：The cumulative probability for a cherry tree height of 120 inches is \( \boxed{0.716} \).

Step 3 ：Calculate the cumulative probability for a cherry tree height of 100 inches using the same normal distribution parameters.

Step 4 ：The cumulative probability for a cherry tree height of 100 inches is \( \boxed{0.196} \).

Step 5 ：Calculate the cumulative probability for a cherry tree height of 130 inches using the same normal distribution parameters.

Step 6 ：The cumulative probability for a cherry tree height of 130 inches is \( \boxed{0.901} \).