3. Applying Chebyshev's Inequality. Chebyshev's inequality states that no more than $\frac{1}{k^2}$ of the distribution's values can be more than $k$ standard deviations away from the mean, for any $k>1$. In this exercise, you'll use Chebyshev's inequality to estimate the probability that a random variable deviates from its mean by more than 5 standard deviations.

You are given the formula $P(|X-\mu |\ge k\sigma )\le \frac{1}{k^2}$, where $\mu$ is the mean and $\sigma$ is the standard deviation.

If the standard deviation of an asset's return is 10\%, what is the maximum probability of observing a return that is 20\% above or below the mean?