Let X be a random variable with a continuous distribution such that the interquartile range (IQR) is Prove that the IQR of aX b is a for all a 0 and all b 12 Let X be a random variable with a continuous distribution such that the median absolute deviation is Prove that the median absolute deviation...

Let x q be the q quantile of X The result wi ...

Let X be a random variable with a continuous distribution such that the interquartile range (IQR) is

Question:

Let X be a random variable with a continuous such that the interquartile range (IQR) is σ. Prove that the IQR of aX + b is aσ for all a > 0 and all b. 12. Let X be a random variable with a continuous such that the median absolute deviation is σ. Prove that the median absolute deviation of aX + b is aσ for all a > 0 and all b.
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...