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?
There are things you need to make it your business to know:
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:
since and
where and are respectively the mean and standard deviation of X.