This is Data management, just fill out the blank answers and show work.

Question Answer Mark 1. Describe the key characteristics of a binomial distribution. /4 How would you know if you could approximate this with the normal distribution? 2. There have been some outstanding hitters in baseball. In 14 1911, Ty Cobb's batting average was 0.420. In 1941, Ted Williams batted 0.406. George Brett's 0.390 average in 1980 was one of the highest since Ted Williams. Batting averages have historically been approximately normally distributed, with means and standard deviations as shown below. Decade Mean Standard Deviation 1910s 0.266 0.0371 1940s 0.267 0.0326 1970s-1980s 0.261 0.0317 Compute z-scores for each of these three outstanding hitters. Can you rank the three hitters? Explain your