Tree heights: Cherry trees in a certain orchard have heights that are normally distributed with mean $\mu=111$ inches and standard deviation $\sigma=12$ inches. Use the Excel spreadsheet to answer the following. Round the answers to at least four decimal places.
Part 1 of 3
(a) What proportion of trees are more than 121 inches tall?
The proportion of trees that are more than 121 inches tall is .2023 .
Alternate Answer:
The proportion of trees that are more than 121 inches tall is 0.2023 .
Part: $1 / 3$
Part 2 of 3
(b) What proportion of trees are less than 95 inches tall?
The proportion of trees that are less than 95 inches tall is $\square$.

Step 1 ：The problem is asking for the proportion of trees that are less than 95 inches tall. This is a problem of finding the cumulative probability of a normal distribution.

Step 2 ：The formula for finding the cumulative probability for a normal distribution is: \(P(X < x) = Φ((x - μ) / σ)\) where: \(P(X < x)\) is the cumulative probability, Φ is the cumulative distribution function for a standard normal distribution, x is the value for which we want to find the cumulative probability, μ is the mean of the distribution, σ is the standard deviation of the distribution.

Step 3 ：In this case, x = 95, μ = 111, and σ = 12. We can plug these values into the formula to find the cumulative probability.

Step 4 ：The cumulative probability of a tree being less than 95 inches tall is approximately 0.0912. This means that about 9.12% of the trees are less than 95 inches tall.

Step 5 ：Final Answer: The proportion of trees that are less than 95 inches tall is \(\boxed{0.0912}\).