Section A - Short Answers Questions - Answer ALL (2 x 4 marks = 8 marks) 1. The Xhang Corporation operates five clothing suppliers in China to provide merchandise for Nike Nike recently sought information from the five plants. One variable for which data was collected was the total money in U.S. Dollars) the company spent on medical support for its employees in the first three months of the year. Data on number of employees at the plants are shown. These data are as follows: Medical $7,400 $14,400 $12,300 $6,200 $3,100 Employees 123 402 256 109 67 a. Compute the weighted mean medical payment for these five plants using number of employees as the weights. b. Explain why Nike would desire that a weighted be computed in this situation rather than a simple numeric average 2. Consider the following discrete probability distribution: P(x) 5 0.1 10 0.15 15 0.25 20 0.5 (a). Let y = x + 5. Calculate the expected value of the new random variable y (b). Let z = 5x. Calculate the expected value of the new random variable z