Company f sells fabrics known as fat quarters, which are rectangles of fabric created by cutting a yard of fabric into four pieces. Occasionally the manufacturing process results in a fabric defect. Let the random variable x represent the number of defects on a fat quarter created by company f. The following table shows the probability distribution of x. X 0 1 2 3 4 or more probability 0. 58 0. 23 0. 11 0. 05 0. 03 if a fat quarter has more than 2 defects, it cannot be sold and is discarded. Let the random variable y represent the number of defects on a fat quarter that can be sold by company f. (a) construct the probability distribution of the random variable y.