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The question is excellent. If two independent random variable with different pdf's are multiplied together, the mathematics of calculating the resultant distribution can be complex. So, I would prefer to use Monte-Carlo simulation to calculate the resultant distribution. Generally, I use the Matlab program. If this is not a satisfactory answer, it would be good to repost your question.

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Q: What is the formula for finding the standard deviation of two independent random variables multiplied together?
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Related questions

What is the standardizing variables?

There doesn't exist such a thing. What does exist are standardized variables, which are variables with mean = 0 and standard deviation = 1


How to add standard deviations?

Square each standard deviation individually to get each variance. Add the variances, divide by the number of variances and then take the square root of that sum. ---------------------------- No, independent linear variables work like this: If X and Y are any two random variables, then mX+Y = mX + mY If X and Y are independent random variables, then s2X+Y = s2X + s2Y


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It is not called anything special, just 2 standard deviations or 3 sd.


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The standard deviation is the standard deviation! Its calculation requires no assumption.


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Yes, to approximately standard normal.If the random variable X is approximately normal with mean m and standard deviation s, then(X - m)/sis approximately standard normal.


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If X and Y are independent Gaussian random variables with mean 0 and standard deviation sigma, then sqrt(X^2 + Y^2) has a Rayleigh distribution with parameter sigma.


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The standard deviation of the population. the standard deviation of the population.


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What is the relationship between standard deviation and variance?

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