(Solved): The accompanying specific gravity values for various wood types used in construction appear ...

The accompanying specific gravity values for various wood types used in construction appeared in the article "Bolted Connection Design Values Based on European Yield Model" (J. of Structural Engr., 1993: 2169-2186): Problem 1. Create a frequency distribution table. The table should have the following columns: class, frequency and relative frequency. Problem 2. Draw histograms of frequencies and cumulative relative frequencies. Use proper labels on the axes. Problem 3. Calculate the mean, variance and standard deviation of the sample using the formulas of grouped data. Expand the above table, add more columns as needed for the calculations. Show the equations and all calculations. Problem 4. Using the frequency distribution table estimate the following probabilities ( $X$ represents the specific gravity and $P$ represents probability). (a) $P(X?0.5)$ (b) $\mathrm{P}(\mathrm{X}>0.5)$ (c) $\mathrm{P}(0.4?\mathrm{X}?0.6)$ (d) $\mathrm{P}(\mathrm{X}<0.9)$