According to a recent​ survey, the average daily rate for a luxury hotel is ​$236.97. Assume the daily rate follows a normal probability distribution with a standard deviation of ​$21.88. Complete parts a through d below. a. What is the probability that a randomly selected luxury​ hotel's daily rate will be less than $249?

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.