X is a normally distributed random variable with a mean of 2 and a standard deviation of 3. Y is also a normally distributed random variable with a mean of 4 and a standard deviation of 5. X and Y are independent. What is the distribution of W = X + Y? X is a normally distributed random variable with a mean of 2 and a standard deviation of 3. Y is also a normally distributed random variable with a mean of 4 and a standard deviation of 5. X and Y are independent. What is the distribution of W = 0.5X + 0.5Y?
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We know that X is normally distributed with mean 2 and standard deviation 3, so we can write it as X ~ N(2, 3^2). Show more…
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