Chapter 8, Ex 5

Let X be a random variable with E(X) = 0 and V(X) = 1. What integer value k will assure us that P(|X|??? k)??? .01?

Chebyshev’s Inequality:

\[ P(|X-\mu|\geq k\sigma) \leq 1/k^{2} \]

1/k\(^{2}\) = .01
k = \(\sqrt{1/.01}\) = 10