According to a recent survey, the salaries of assistant professors have a mean of $ 40,756 and a standard deviation of $ 7500 . Assuming that the salaries of assistant professors follow a normal distribution, find the proportion of assistant professors who earn less than $ 50,000 . Round your answer to at least four decimal places.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.