A population of values has a normal distribution with μ=52.1 and σ=76.5. You intend to draw a random sample of size n=140. Find the probability that a single randomly selected value is between 56.6 and 67. P(56.6 < X < 67) =  Find the probability that a sample of size n=140n=140 is randomly selected with a mean between 56.6 and 67. P(56.6 < M < 67) =  Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

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.