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 $\boxed{{\displaystyle 0.716}}$.

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 $\boxed{{\displaystyle 0.196}}$.

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 $\boxed{{\displaystyle 0.901}}$.