ENGINEERING DATA ANALYSIS

Exercise 3.1 The orders from n = 100 customers for wooden panels of various thickness (X) are summarized as follows: Wooden Panel Thickness (X; inches) 1/8" 1/4" 3/8" No. of customer orders 20 70 10 Let X denote the panel thickness in inches. Determine the probability mass function of X and plot f (x;). Exercise 3.2 In Exercise 3.1, the following probabilities have been calculated: P(X=1/8) = 0.2, P(X=1/4) = 0.7, and P(X=3/8) = 0.1 Determine the cumulative distribution function of X and plot F(x). E- Exercise 3.3 Suppose that the probability density function of X is f (x ) = - 3x, 0