The average cost to rent a single-family home in Okeechobee is $1,313 per month. Assume that the distribution of the monthly rent of all single-family homes in Okeechobee is normally distributed with a standard deviation of $66. Use this information to determine the following probabilities. Round solutions to four decimal places, if necessary. Find the probability that a random sample of 57 homes in Okeechobee has a mean rent less than $1,342. Find the probability that a random sample of 57 homes in Okeechobee has a mean rent between $1,309 and $1,330.

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.