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Approximate mean and variance: Suppose x and y are independent normally distributed random variables, where x has mean 4 and standard deviation 1,...
Approximate mean and variance:
• Suppose x and y are independent normally distributed random variables, where x has mean 4 and standard deviation 1, and y has mean 3 and standard deviation 2. What are the mean and standard deviation of y/x? Compute this using simulation.
• Suppose x and y are independent random variables, where x has mean 4 and standard deviation 1, and y has mean 3 and standard deviation 2. What are the approximate mean and standard deviation of y/x? Determine this without using simulation.
• What assumptions are required for the approximation in (b) to be reasonable?
