Help **Educational Content: Understanding Probability with Normal Distribution**---**Problem Statement:**Assume the heights of women are normally distributed with a mean of 67.5 inches and a standard deviation of 2.5 inches. If 25 women are randomly selected, find the probability that they have a mean height greater than 68 inches. Draw a bell curve, label your mean, and shade the area that you are trying to find. Then answer the question. *(Round to 4 decimal places)***Steps to Solve:**1. **Identify the Parameters**: - Mean (\(\mu\)) = 67.5 inches - Standard Deviation (\(\sigma\)) = 2.5 inches - Sample size (n) = 25 - Sample mean to compare = 68 inches2. **Calculate the Standard Error**: - Standard Error (SE) = \(\frac{\sigma}{\sqrt{n}} = \frac{2.5}{\sqrt{25}} = \frac{2.5}{5} = 0.5\)3. **Calculate the Z-score**: - Z = \(\frac{X - \mu}{SE} = \frac{68 - 67.5}{0.5} = 1\)4. **Find the Probability**: - Use the standard normal distribution table or a calculator to find the probability corresponding to a Z-score of 1. - Probability (P) = 1 - P(Z ≤ 1)5. **Draw the Bell Curve**: - A bell curve representing the normal distribution is drawn. - The mean (\(\mu = 67.5\)) is marked in the center of the curve. - The region to the right of 68 inches is shaded to represent the area for which you are finding the probability.**Outcome:**- Calculate the probability of selecting 25 women with a mean height greater than 68 inches based on the Z-score and standard normal distribution table.- Ensure to round the probability to 4 decimal places as instructed.**Questions for Understanding:**- What is a normal distribution, and why is it important in statistics?- How can the concept of standard error assist in understanding sample means?- What is a Z-score, and how does it help in finding probabilities?This exercise provides a practical application of the statistical concepts of normal distribution

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Assume the heights of women are normally distributed with a mean of 67.5 inches and a standard deviation of 2.5 inches. If 25 women are randomly selected, find the probability that they have a mean height greàter than 68 inches. Draw a bell curve, label your mean and shade the area that you are trying to find. Then answer the question. (round to 4 decimal places) Before you solve the problem answer the following questions: