The height of a certain population of female teenagers is approximately normally distributed with a mean of 155 cm and a standard deviation of 7 cm. Find the probability that a randomly selected teenager has height (a) between 145 and 165 cm, (b) more than 150 cm, and (c) less than 169 cm.

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.