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Learning Goal: I’m working on a r question and need an explanation and answer to help me learn.1. A hormone level in humans is believed to be a chi-square distribution. A patient datasample indicates that the variance of the hormone level is 4. What is the standard deviation of the median hormone level in humans? In what proportion of humans is the hormone level less than 1? In what proportion of humans is the hormone level between 1.5 and 3? 2. Approximate the distribution of the hormone-level in Question 1 above with a log-normal distribution. What are your new answers to the 3 questions asked in Question 1? 3. The data below is on vitamin D levels for several patients. A physician wants to know the standard deviations of the mean and median vitamin D levels. What would you tell her? 17 25 17 33 24 15 18 19 14 23 19 23 25 27 21 26 20 4. Find the “best” Linear Regression model that explains Y in the following dataset: LassoRR_sysm590_4K5K70pct.csv. That is, recognize, but ignore multicollinearity and do the usual things to find a Linear Regression model. 5. Now, without ignoring multicollinearity for the dataset given you in Question 3, find the “best” model using Ridge Regression.