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 \(\boxed{0.0912}\).