The lengths of lumber a machine cuts are normally distributed with a mean of 105 inches and a standard deviation of 0.7 inch (a) What is the probability that a randomly selected board cut by the machine has a length greater than 105.21 inches?
b) A sample of 38 boards is randomly selected. What is the probability that their mean length is greater than 105.21 Inches?
(A) Probability is-
(B) 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.

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