Lori just bought a new set of four tires for her car. The life of each tire is normally distributed with a mean of 48,000 miles and a standard deviation of 4,300 miles. Find the probability that all four tires will last at least 48,200 miles. Assume that life of each of these tires is independent of the lives of other tires. Round your answer to four decimal places.  The probability is ______?

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.