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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 a) Determine the probability distribution. Graph f(x). b) Determine the cumulative distribution plot x vs f(x).2. A shipment of 7' television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. a} If): is the number of defective sets purchased by the hotel, find the probability distribution of 1:. Express the results graphically as a probability histogram. b} Find the cumulative distribution function of the random variable X representing the number of defectives. Then using fix}, find {a} p(X = 1); lb) pm