How can I use Chebyshev's Inequality to show that P[0 < X < 3] >= 0.75?
note: X ~ Exp (lamba = 1)
and does the Cheby. inequality improve as k --> infinity?
it's a little confusing. can someone help?
1. The statement of Chebyshev's Inequality.
2. The mean of an exponential distribution.
3. The standard deviation of an exponential distribution.
Once you know these things you need to see that:
where and are respectively the mean and standard deviation of X.