Consider a company that has two different divisions. The annual profits from the two divisions are independent and have distributions Profit1 ~ N(5, 3^2) and Profit2 ~ N(7, 4^2) respectively. Both the profits are in $ Million. Answer the following questions about the total profit of the company in Rupees. Assume that $1 = Rs. 45
⦁ Specify a Rupee range (centered on the mean) such that it contains 95% probability for the annual profit of the company.
⦁ Specify the 5th percentile of profit (in Rupees) for the company
⦁ Which of the two divisions has a larger probability of making a loss in a given year?
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