The U.S. Coast Guard (USCG) provides a wide variety of information on boating accidents including the wind condition at the time of the accident. The following table shows the results obtained for 4,401 accidents (USCG website). Excel File: data05-59.xlsx Percentage of Wind Condition Accidents None 9.6 Light 57.0 Moderate 23.8 Strong 7.7 Storm 1.9 Let be a random variable reflecting the known wind condition at the time of each accident. Set for none, for light, for moderate, for strong, and for storm. a. Develop a probability distribution for (to 4 decimals). 0.096 .57 23.8 7.7 1.9 Total 100 b. Compute the expected value of (to 3 decimals). c. Compute the variance and standard deviation for (to 4 decimals). Variance Standard deviation d. Comment on what your results imply about the wind conditions during boating accidents.