An automobile manufacturer produces and sells the Energy-Saver

Objective – To understand the effects of linear transformations on the mean, variance (and standard deviation), and covariance.An automobile manufacturer produces and sells the Energy-Saver Car in North America. It also produces and sells the Smart Little Car in China.In North America, the mean annual number of Energy-Saver Cars produced over the past decade was 12,100. The variance was 8,100. Net revenue for each car sold was $2.1 thousand. (Net revenue is price minus unit variable costs.) The annual fixed costs of the North American facilities were $176 thousand (costs of management, buildings, insurance, etc.).In China, the mean annual number of Smart Little Cars produced over the past decade was 7,500. The variance was 6,400. Net revenue for each car sold was $1.2 thousand. The annual fixed costs of the facility in China were $23 thousand.The covariance between the number of cars produced in North America and the number of cars produced in China was 5,040.Use X and Y to represent the number of cars produced in North America and the number produced in China, respectively. Use PRX and PRY to represent profits in North America and profits in China, respectively.1.What is the value of mean profit in North America (mean of PRX)?What is the value of mean profit in North America (mean of PRX)? What is the value of mean profit in China (mean of PRY)?What is thevariance of profit in China?What is the covariance between profit in North America and profit in China?What is thestandard deviation of profit in North America?