Solve each word problem. Show the conversion of raw score to z-score. Illustrate the appropriate shading of the normal curve for each problem. Box your final answer. A professor reported that the mean...

Solve each word problem. Show the conversion of raw score to z-score. Illustrate the appropriate shading of the normal curve for each problem. Box your final answer.

A professor reported that the mean score in a recent quiz is 72 and the standard deviation is 6. What is the proportion of students who obtained scores between 50 and 75?